Finding the Third Proportional to 138,798 and 298,650

Step by Step Solution

1. Step 1: Write the proportion equation
   138,798 : 298,650 = 298,650 : x
2. Step 2: Convert to fraction form
   138,798/298,650 = 298,650/x
3. Step 3: Cross multiply
   138,798x = 298,650 × 298,650
4. Step 4: Simplify right side
   138,798x = 89,191,822,500
5. Step 5: Solve for x
   x = 89,191,822,500/138,798
6. Step 6: Final answer
   x = 642,601.64