Finding the Third Proportional to 138,273.75 and 298,687.50

Step by Step Solution

1. Step 1: Write the proportion equation
   138,273.75 : 298,687.50 = 298,687.50 : x
2. Step 2: Convert to fraction form
   138,273.75/298,687.50 = 298,687.50/x
3. Step 3: Cross multiply
   138,273.75x = 298,687.50 × 298,687.50
4. Step 4: Simplify right side
   138,273.75x = 89,214,222,656.25
5. Step 5: Solve for x
   x = 89,214,222,656.25/138,273.75
6. Step 6: Final answer
   x = 645,199.99