Finding the Third Proportional to 69,772.50 and 151,123.50

Step by Step Solution

1. Step 1: Write the proportion equation
   69,772.50 : 151,123.50 = 151,123.50 : x
2. Step 2: Convert to fraction form
   69,772.50/151,123.50 = 151,123.50/x
3. Step 3: Cross multiply
   69,772.50x = 151,123.50 × 151,123.50
4. Step 4: Simplify right side
   69,772.50x = 22,838,312,252.25
5. Step 5: Solve for x
   x = 22,838,312,252.25/69,772.50
6. Step 6: Final answer
   x = 327,325.41