Finding the Third Proportional to 127,419 and 178,216.50

Step by Step Solution

1. Step 1: Write the proportion equation
   127,419 : 178,216.50 = 178,216.50 : x
2. Step 2: Convert to fraction form
   127,419/178,216.50 = 178,216.50/x
3. Step 3: Cross multiply
   127,419x = 178,216.50 × 178,216.50
4. Step 4: Simplify right side
   127,419x = 31,761,120,872.25
5. Step 5: Solve for x
   x = 31,761,120,872.25/127,419
6. Step 6: Final answer
   x = 249,265.19