Finding the Third Proportional to 83,152 and 182,912.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,152 : 182,912.50 = 182,912.50 : x
2. Step 2: Convert to fraction form
   83,152/182,912.50 = 182,912.50/x
3. Step 3: Cross multiply
   83,152x = 182,912.50 × 182,912.50
4. Step 4: Simplify right side
   83,152x = 33,456,982,656.25
5. Step 5: Solve for x
   x = 33,456,982,656.25/83,152
6. Step 6: Final answer
   x = 402,359.33