Finding the Third Proportional to 337,506 and 492,932

Step by Step Solution

1. Step 1: Write the proportion equation
   337,506 : 492,932 = 492,932 : x
2. Step 2: Convert to fraction form
   337,506/492,932 = 492,932/x
3. Step 3: Cross multiply
   337,506x = 492,932 × 492,932
4. Step 4: Simplify right side
   337,506x = 242,981,956,624
5. Step 5: Solve for x
   x = 242,981,956,624/337,506
6. Step 6: Final answer
   x = 719,933.74