Finding the Third Proportional to 138,564.75 and 298,498.50

Step by Step Solution

1. Step 1: Write the proportion equation
   138,564.75 : 298,498.50 = 298,498.50 : x
2. Step 2: Convert to fraction form
   138,564.75/298,498.50 = 298,498.50/x
3. Step 3: Cross multiply
   138,564.75x = 298,498.50 × 298,498.50
4. Step 4: Simplify right side
   138,564.75x = 89,101,354,502.25
5. Step 5: Solve for x
   x = 89,101,354,502.25/138,564.75
6. Step 6: Final answer
   x = 643,030.46