Finding the Third Proportional to 123,534.38 and 269,724

Step by Step Solution

1. Step 1: Write the proportion equation
   123,534.38 : 269,724 = 269,724 : x
2. Step 2: Convert to fraction form
   123,534.38/269,724 = 269,724/x
3. Step 3: Cross multiply
   123,534.38x = 269,724 × 269,724
4. Step 4: Simplify right side
   123,534.38x = 72,751,036,176
5. Step 5: Solve for x
   x = 72,751,036,176/123,534.38
6. Step 6: Final answer
   x = 588,913.30