Finding the Third Proportional to 123,117 and 269,589.25

Step by Step Solution

1. Step 1: Write the proportion equation
   123,117 : 269,589.25 = 269,589.25 : x
2. Step 2: Convert to fraction form
   123,117/269,589.25 = 269,589.25/x
3. Step 3: Cross multiply
   123,117x = 269,589.25 × 269,589.25
4. Step 4: Simplify right side
   123,117x = 72,678,363,715.56
5. Step 5: Solve for x
   x = 72,678,363,715.56/123,117
6. Step 6: Final answer
   x = 590,319.48