Finding the Third Proportional to 71,569 and 105,165.50

Step by Step Solution

1. Step 1: Write the proportion equation
   71,569 : 105,165.50 = 105,165.50 : x
2. Step 2: Convert to fraction form
   71,569/105,165.50 = 105,165.50/x
3. Step 3: Cross multiply
   71,569x = 105,165.50 × 105,165.50
4. Step 4: Simplify right side
   71,569x = 11,059,782,390.25
5. Step 5: Solve for x
   x = 11,059,782,390.25/71,569
6. Step 6: Final answer
   x = 154,533.14