Finding the Third Proportional to 144,427.50 and 298,057.50

Step by Step Solution

1. Step 1: Write the proportion equation
   144,427.50 : 298,057.50 = 298,057.50 : x
2. Step 2: Convert to fraction form
   144,427.50/298,057.50 = 298,057.50/x
3. Step 3: Cross multiply
   144,427.50x = 298,057.50 × 298,057.50
4. Step 4: Simplify right side
   144,427.50x = 88,838,273,306.25
5. Step 5: Solve for x
   x = 88,838,273,306.25/144,427.50
6. Step 6: Final answer
   x = 615,106.36