Finding the Third Proportional to 127,566 and 279,319.50

Step by Step Solution

1. Step 1: Write the proportion equation
   127,566 : 279,319.50 = 279,319.50 : x
2. Step 2: Convert to fraction form
   127,566/279,319.50 = 279,319.50/x
3. Step 3: Cross multiply
   127,566x = 279,319.50 × 279,319.50
4. Step 4: Simplify right side
   127,566x = 78,019,383,080.25
5. Step 5: Solve for x
   x = 78,019,383,080.25/127,566
6. Step 6: Final answer
   x = 611,600.14