Finding the Third Proportional to 202,446,569,016 and 435,360,650,566.50

Step by Step Solution

1. Step 1: Write the proportion equation
   202,446,569,016 : 435,360,650,566.50 = 435,360,650,566.50 : x
2. Step 2: Convert to fraction form
   202,446,569,016/435,360,650,566.50 = 435,360,650,566.50/x
3. Step 3: Cross multiply
   202,446,569,016x = 435,360,650,566.50 × 435,360,650,566.50
4. Step 4: Simplify right side
   202,446,569,016x = 189,538,896,061,686,114,942,976
5. Step 5: Solve for x
   x = 189,538,896,061,686,114,942,976/202,446,569,016
6. Step 6: Final answer
   x = 936,241,582,077.42