Finding the Third Proportional to 123,116.52 and 269,588.09

Step by Step Solution

1. Step 1: Write the proportion equation
   123,116.52 : 269,588.09 = 269,588.09 : x
2. Step 2: Convert to fraction form
   123,116.52/269,588.09 = 269,588.09/x
3. Step 3: Cross multiply
   123,116.52x = 269,588.09 × 269,588.09
4. Step 4: Simplify right side
   123,116.52x = 72,677,739,238.68
5. Step 5: Solve for x
   x = 72,677,739,238.68/123,116.52
6. Step 6: Final answer
   x = 590,316.71