Finding the Third Proportional to 127,507.50 and 280,179

Step by Step Solution

1. Step 1: Write the proportion equation
   127,507.50 : 280,179 = 280,179 : x
2. Step 2: Convert to fraction form
   127,507.50/280,179 = 280,179/x
3. Step 3: Cross multiply
   127,507.50x = 280,179 × 280,179
4. Step 4: Simplify right side
   127,507.50x = 78,500,272,041
5. Step 5: Solve for x
   x = 78,500,272,041/127,507.50
6. Step 6: Final answer
   x = 615,652.19