Finding the Third Proportional to 138,804 and 298,658

Step by Step Solution

1. Step 1: Write the proportion equation
   138,804 : 298,658 = 298,658 : x
2. Step 2: Convert to fraction form
   138,804/298,658 = 298,658/x
3. Step 3: Cross multiply
   138,804x = 298,658 × 298,658
4. Step 4: Simplify right side
   138,804x = 89,196,600,964
5. Step 5: Solve for x
   x = 89,196,600,964/138,804
6. Step 6: Final answer
   x = 642,608.29