Finding the Third Proportional to 367,499 and 498,747

Step by Step Solution

1. Step 1: Write the proportion equation
   367,499 : 498,747 = 498,747 : x
2. Step 2: Convert to fraction form
   367,499/498,747 = 498,747/x
3. Step 3: Cross multiply
   367,499x = 498,747 × 498,747
4. Step 4: Simplify right side
   367,499x = 248,748,570,009
5. Step 5: Solve for x
   x = 248,748,570,009/367,499
6. Step 6: Final answer
   x = 676,868.70