Finding the Third Proportional to 138,791 and 298,632

Step by Step Solution

1. Step 1: Write the proportion equation
   138,791 : 298,632 = 298,632 : x
2. Step 2: Convert to fraction form
   138,791/298,632 = 298,632/x
3. Step 3: Cross multiply
   138,791x = 298,632 × 298,632
4. Step 4: Simplify right side
   138,791x = 89,181,071,424
5. Step 5: Solve for x
   x = 89,181,071,424/138,791
6. Step 6: Final answer
   x = 642,556.59