Finding the Third Proportional to 123,049 and 181,117.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,049 : 181,117.50 = 181,117.50 : x
2. Step 2: Convert to fraction form
   123,049/181,117.50 = 181,117.50/x
3. Step 3: Cross multiply
   123,049x = 181,117.50 × 181,117.50
4. Step 4: Simplify right side
   123,049x = 32,803,548,806.25
5. Step 5: Solve for x
   x = 32,803,548,806.25/123,049
6. Step 6: Final answer
   x = 266,589.32