Finding the Third Proportional to 123,301 and 269,431

Step by Step Solution

1. Step 1: Write the proportion equation
   123,301 : 269,431 = 269,431 : x
2. Step 2: Convert to fraction form
   123,301/269,431 = 269,431/x
3. Step 3: Cross multiply
   123,301x = 269,431 × 269,431
4. Step 4: Simplify right side
   123,301x = 72,593,063,761
5. Step 5: Solve for x
   x = 72,593,063,761/123,301
6. Step 6: Final answer
   x = 588,746.76