Finding the Third Proportional to 123,500 and 180,862

Step by Step Solution

1. Step 1: Write the proportion equation
   123,500 : 180,862 = 180,862 : x
2. Step 2: Convert to fraction form
   123,500/180,862 = 180,862/x
3. Step 3: Cross multiply
   123,500x = 180,862 × 180,862
4. Step 4: Simplify right side
   123,500x = 32,711,063,044
5. Step 5: Solve for x
   x = 32,711,063,044/123,500
6. Step 6: Final answer
   x = 264,866.91