Finding the Third Proportional to 100,946 and 156,744.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,946 : 156,744.50 = 156,744.50 : x
2. Step 2: Convert to fraction form
   100,946/156,744.50 = 156,744.50/x
3. Step 3: Cross multiply
   100,946x = 156,744.50 × 156,744.50
4. Step 4: Simplify right side
   100,946x = 24,568,838,280.25
5. Step 5: Solve for x
   x = 24,568,838,280.25/100,946
6. Step 6: Final answer
   x = 243,385.95