Finding the Third Proportional to 123,159.50 and 185,620

Step by Step Solution

1. Step 1: Write the proportion equation
   123,159.50 : 185,620 = 185,620 : x
2. Step 2: Convert to fraction form
   123,159.50/185,620 = 185,620/x
3. Step 3: Cross multiply
   123,159.50x = 185,620 × 185,620
4. Step 4: Simplify right side
   123,159.50x = 34,454,784,400
5. Step 5: Solve for x
   x = 34,454,784,400/123,159.50
6. Step 6: Final answer
   x = 279,757.42