Finding the Third Proportional to 47,985 and 101,506.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,985 : 101,506.50 = 101,506.50 : x
2. Step 2: Convert to fraction form
   47,985/101,506.50 = 101,506.50/x
3. Step 3: Cross multiply
   47,985x = 101,506.50 × 101,506.50
4. Step 4: Simplify right side
   47,985x = 10,303,569,542.25
5. Step 5: Solve for x
   x = 10,303,569,542.25/47,985
6. Step 6: Final answer
   x = 214,724.80