Finding the Third Proportional to 102,258 and 156,957.75

Step by Step Solution

1. Step 1: Write the proportion equation
   102,258 : 156,957.75 = 156,957.75 : x
2. Step 2: Convert to fraction form
   102,258/156,957.75 = 156,957.75/x
3. Step 3: Cross multiply
   102,258x = 156,957.75 × 156,957.75
4. Step 4: Simplify right side
   102,258x = 24,635,735,285.06
5. Step 5: Solve for x
   x = 24,635,735,285.06/102,258
6. Step 6: Final answer
   x = 240,917.44