Finding the Third Proportional to 138,557.25 and 298,735.50

Step by Step Solution

1. Step 1: Write the proportion equation
   138,557.25 : 298,735.50 = 298,735.50 : x
2. Step 2: Convert to fraction form
   138,557.25/298,735.50 = 298,735.50/x
3. Step 3: Cross multiply
   138,557.25x = 298,735.50 × 298,735.50
4. Step 4: Simplify right side
   138,557.25x = 89,242,898,960.25
5. Step 5: Solve for x
   x = 89,242,898,960.25/138,557.25
6. Step 6: Final answer
   x = 644,086.82