Finding the Third Proportional to 64,957.50 and 142,672.50

Step by Step Solution

1. Step 1: Write the proportion equation
   64,957.50 : 142,672.50 = 142,672.50 : x
2. Step 2: Convert to fraction form
   64,957.50/142,672.50 = 142,672.50/x
3. Step 3: Cross multiply
   64,957.50x = 142,672.50 × 142,672.50
4. Step 4: Simplify right side
   64,957.50x = 20,355,442,256.25
5. Step 5: Solve for x
   x = 20,355,442,256.25/64,957.50
6. Step 6: Final answer
   x = 313,365.54