Finding the Third Proportional to 41,526 and 85,522.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,526 : 85,522.50 = 85,522.50 : x
2. Step 2: Convert to fraction form
   41,526/85,522.50 = 85,522.50/x
3. Step 3: Cross multiply
   41,526x = 85,522.50 × 85,522.50
4. Step 4: Simplify right side
   41,526x = 7,314,098,006.25
5. Step 5: Solve for x
   x = 7,314,098,006.25/41,526
6. Step 6: Final answer
   x = 176,132.98