Finding the Third Proportional to 103,909.50 and 161,946

Step by Step Solution

1. Step 1: Write the proportion equation
   103,909.50 : 161,946 = 161,946 : x
2. Step 2: Convert to fraction form
   103,909.50/161,946 = 161,946/x
3. Step 3: Cross multiply
   103,909.50x = 161,946 × 161,946
4. Step 4: Simplify right side
   103,909.50x = 26,226,506,916
5. Step 5: Solve for x
   x = 26,226,506,916/103,909.50
6. Step 6: Final answer
   x = 252,397.59