Finding the Third Proportional to 77,571 and 160,123.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,571 : 160,123.50 = 160,123.50 : x
2. Step 2: Convert to fraction form
   77,571/160,123.50 = 160,123.50/x
3. Step 3: Cross multiply
   77,571x = 160,123.50 × 160,123.50
4. Step 4: Simplify right side
   77,571x = 25,639,535,252.25
5. Step 5: Solve for x
   x = 25,639,535,252.25/77,571
6. Step 6: Final answer
   x = 330,529.90