Finding the Third Proportional to 138,360 and 298,513.50

Step by Step Solution

1. Step 1: Write the proportion equation
   138,360 : 298,513.50 = 298,513.50 : x
2. Step 2: Convert to fraction form
   138,360/298,513.50 = 298,513.50/x
3. Step 3: Cross multiply
   138,360x = 298,513.50 × 298,513.50
4. Step 4: Simplify right side
   138,360x = 89,110,309,682.25
5. Step 5: Solve for x
   x = 89,110,309,682.25/138,360
6. Step 6: Final answer
   x = 644,046.76