Finding the Third Proportional to 123,354 and 269,534

Step by Step Solution

1. Step 1: Write the proportion equation
   123,354 : 269,534 = 269,534 : x
2. Step 2: Convert to fraction form
   123,354/269,534 = 269,534/x
3. Step 3: Cross multiply
   123,354x = 269,534 × 269,534
4. Step 4: Simplify right side
   123,354x = 72,648,577,156
5. Step 5: Solve for x
   x = 72,648,577,156/123,354
6. Step 6: Final answer
   x = 588,943.83