Finding the Third Proportional to 123,587.50 and 269,828

Step by Step Solution

1. Step 1: Write the proportion equation
   123,587.50 : 269,828 = 269,828 : x
2. Step 2: Convert to fraction form
   123,587.50/269,828 = 269,828/x
3. Step 3: Cross multiply
   123,587.50x = 269,828 × 269,828
4. Step 4: Simplify right side
   123,587.50x = 72,807,149,584
5. Step 5: Solve for x
   x = 72,807,149,584/123,587.50
6. Step 6: Final answer
   x = 589,114.19