Finding the Third Proportional to 127,444 and 178,250

Step by Step Solution

1. Step 1: Write the proportion equation
   127,444 : 178,250 = 178,250 : x
2. Step 2: Convert to fraction form
   127,444/178,250 = 178,250/x
3. Step 3: Cross multiply
   127,444x = 178,250 × 178,250
4. Step 4: Simplify right side
   127,444x = 31,773,062,500
5. Step 5: Solve for x
   x = 31,773,062,500/127,444
6. Step 6: Final answer
   x = 249,309.99