Finding the Third Proportional to 71,526 and 113,233.50

Step by Step Solution

1. Step 1: Write the proportion equation
   71,526 : 113,233.50 = 113,233.50 : x
2. Step 2: Convert to fraction form
   71,526/113,233.50 = 113,233.50/x
3. Step 3: Cross multiply
   71,526x = 113,233.50 × 113,233.50
4. Step 4: Simplify right side
   71,526x = 12,821,825,522.25
5. Step 5: Solve for x
   x = 12,821,825,522.25/71,526
6. Step 6: Final answer
   x = 179,261.05