Finding the Third Proportional to 127,507 and 280,178

Step by Step Solution

1. Step 1: Write the proportion equation
   127,507 : 280,178 = 280,178 : x
2. Step 2: Convert to fraction form
   127,507/280,178 = 280,178/x
3. Step 3: Cross multiply
   127,507x = 280,178 × 280,178
4. Step 4: Simplify right side
   127,507x = 78,499,711,684
5. Step 5: Solve for x
   x = 78,499,711,684/127,507
6. Step 6: Final answer
   x = 615,650.21