Finding the Third Proportional to 123,561 and 269,781.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,561 : 269,781.50 = 269,781.50 : x
2. Step 2: Convert to fraction form
   123,561/269,781.50 = 269,781.50/x
3. Step 3: Cross multiply
   123,561x = 269,781.50 × 269,781.50
4. Step 4: Simplify right side
   123,561x = 72,782,057,742.25
5. Step 5: Solve for x
   x = 72,782,057,742.25/123,561
6. Step 6: Final answer
   x = 589,037.46