Finding the Third Proportional to 138,740 and 298,522

Step by Step Solution

1. Step 1: Write the proportion equation
   138,740 : 298,522 = 298,522 : x
2. Step 2: Convert to fraction form
   138,740/298,522 = 298,522/x
3. Step 3: Cross multiply
   138,740x = 298,522 × 298,522
4. Step 4: Simplify right side
   138,740x = 89,115,384,484
5. Step 5: Solve for x
   x = 89,115,384,484/138,740
6. Step 6: Final answer
   x = 642,319.33