Finding the Third Proportional to 138,860 and 298,815

Step by Step Solution

1. Step 1: Write the proportion equation
   138,860 : 298,815 = 298,815 : x
2. Step 2: Convert to fraction form
   138,860/298,815 = 298,815/x
3. Step 3: Cross multiply
   138,860x = 298,815 × 298,815
4. Step 4: Simplify right side
   138,860x = 89,290,404,225
5. Step 5: Solve for x
   x = 89,290,404,225/138,860
6. Step 6: Final answer
   x = 643,024.66