Finding the Third Proportional to 138,857 and 298,810

Step by Step Solution

1. Step 1: Write the proportion equation
   138,857 : 298,810 = 298,810 : x
2. Step 2: Convert to fraction form
   138,857/298,810 = 298,810/x
3. Step 3: Cross multiply
   138,857x = 298,810 × 298,810
4. Step 4: Simplify right side
   138,857x = 89,287,416,100
5. Step 5: Solve for x
   x = 89,287,416,100/138,857
6. Step 6: Final answer
   x = 643,017.03