Finding the Third Proportional to 138,800 and 298,654

Step by Step Solution

1. Step 1: Write the proportion equation
   138,800 : 298,654 = 298,654 : x
2. Step 2: Convert to fraction form
   138,800/298,654 = 298,654/x
3. Step 3: Cross multiply
   138,800x = 298,654 × 298,654
4. Step 4: Simplify right side
   138,800x = 89,194,211,716
5. Step 5: Solve for x
   x = 89,194,211,716/138,800
6. Step 6: Final answer
   x = 642,609.59