Finding the Third Proportional to 127,464 and 178,280

Step by Step Solution

1. Step 1: Write the proportion equation
   127,464 : 178,280 = 178,280 : x
2. Step 2: Convert to fraction form
   127,464/178,280 = 178,280/x
3. Step 3: Cross multiply
   127,464x = 178,280 × 178,280
4. Step 4: Simplify right side
   127,464x = 31,783,758,400
5. Step 5: Solve for x
   x = 31,783,758,400/127,464
6. Step 6: Final answer
   x = 249,354.79