Finding the Third Proportional to 74,529 and 109,417.50

Step by Step Solution

1. Step 1: Write the proportion equation
   74,529 : 109,417.50 = 109,417.50 : x
2. Step 2: Convert to fraction form
   74,529/109,417.50 = 109,417.50/x
3. Step 3: Cross multiply
   74,529x = 109,417.50 × 109,417.50
4. Step 4: Simplify right side
   74,529x = 11,972,189,306.25
5. Step 5: Solve for x
   x = 11,972,189,306.25/74,529
6. Step 6: Final answer
   x = 160,638.00