Finding the Third Proportional to 127,616 and 279,416

Step by Step Solution

1. Step 1: Write the proportion equation
   127,616 : 279,416 = 279,416 : x
2. Step 2: Convert to fraction form
   127,616/279,416 = 279,416/x
3. Step 3: Cross multiply
   127,616x = 279,416 × 279,416
4. Step 4: Simplify right side
   127,616x = 78,073,301,056
5. Step 5: Solve for x
   x = 78,073,301,056/127,616
6. Step 6: Final answer
   x = 611,783.01