Finding the Third Proportional to 127,518 and 280,194

Step by Step Solution

1. Step 1: Write the proportion equation
   127,518 : 280,194 = 280,194 : x
2. Step 2: Convert to fraction form
   127,518/280,194 = 280,194/x
3. Step 3: Cross multiply
   127,518x = 280,194 × 280,194
4. Step 4: Simplify right side
   127,518x = 78,508,677,636
5. Step 5: Solve for x
   x = 78,508,677,636/127,518
6. Step 6: Final answer
   x = 615,667.42