Finding the Third Proportional to 127,570 and 279,460

Step by Step Solution

1. Step 1: Write the proportion equation
   127,570 : 279,460 = 279,460 : x
2. Step 2: Convert to fraction form
   127,570/279,460 = 279,460/x
3. Step 3: Cross multiply
   127,570x = 279,460 × 279,460
4. Step 4: Simplify right side
   127,570x = 78,097,891,600
5. Step 5: Solve for x
   x = 78,097,891,600/127,570
6. Step 6: Final answer
   x = 612,196.38