Finding the Third Proportional to 39,207 and 85,522.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,207 : 85,522.50 = 85,522.50 : x
2. Step 2: Convert to fraction form
   39,207/85,522.50 = 85,522.50/x
3. Step 3: Cross multiply
   39,207x = 85,522.50 × 85,522.50
4. Step 4: Simplify right side
   39,207x = 7,314,098,006.25
5. Step 5: Solve for x
   x = 7,314,098,006.25/39,207
6. Step 6: Final answer
   x = 186,550.82