Finding the Third Proportional to 138,766 and 298,582

Step by Step Solution

1. Step 1: Write the proportion equation
   138,766 : 298,582 = 298,582 : x
2. Step 2: Convert to fraction form
   138,766/298,582 = 298,582/x
3. Step 3: Cross multiply
   138,766x = 298,582 × 298,582
4. Step 4: Simplify right side
   138,766x = 89,151,210,724
5. Step 5: Solve for x
   x = 89,151,210,724/138,766
6. Step 6: Final answer
   x = 642,457.16