Finding the Third Proportional to 127,564.50 and 279,322.50

Step by Step Solution

1. Step 1: Write the proportion equation
   127,564.50 : 279,322.50 = 279,322.50 : x
2. Step 2: Convert to fraction form
   127,564.50/279,322.50 = 279,322.50/x
3. Step 3: Cross multiply
   127,564.50x = 279,322.50 × 279,322.50
4. Step 4: Simplify right side
   127,564.50x = 78,021,059,006.25
5. Step 5: Solve for x
   x = 78,021,059,006.25/127,564.50
6. Step 6: Final answer
   x = 611,620.47