Finding the Third Proportional to 71,769 and 157,141.50

Step by Step Solution

1. Step 1: Write the proportion equation
   71,769 : 157,141.50 = 157,141.50 : x
2. Step 2: Convert to fraction form
   71,769/157,141.50 = 157,141.50/x
3. Step 3: Cross multiply
   71,769x = 157,141.50 × 157,141.50
4. Step 4: Simplify right side
   71,769x = 24,693,451,022.25
5. Step 5: Solve for x
   x = 24,693,451,022.25/71,769
6. Step 6: Final answer
   x = 344,068.48