Finding the Third Proportional to 127,614 and 269,820

Step by Step Solution

1. Step 1: Write the proportion equation
   127,614 : 269,820 = 269,820 : x
2. Step 2: Convert to fraction form
   127,614/269,820 = 269,820/x
3. Step 3: Cross multiply
   127,614x = 269,820 × 269,820
4. Step 4: Simplify right side
   127,614x = 72,802,832,400
5. Step 5: Solve for x
   x = 72,802,832,400/127,614
6. Step 6: Final answer
   x = 570,492.52