Finding the Third Proportional to 102,250 and 156,947

Step by Step Solution

1. Step 1: Write the proportion equation
   102,250 : 156,947 = 156,947 : x
2. Step 2: Convert to fraction form
   102,250/156,947 = 156,947/x
3. Step 3: Cross multiply
   102,250x = 156,947 × 156,947
4. Step 4: Simplify right side
   102,250x = 24,632,360,809
5. Step 5: Solve for x
   x = 24,632,360,809/102,250
6. Step 6: Final answer
   x = 240,903.28