Finding the Third Proportional to 194,499 and 402,496

Step by Step Solution

1. Step 1: Write the proportion equation
   194,499 : 402,496 = 402,496 : x
2. Step 2: Convert to fraction form
   194,499/402,496 = 402,496/x
3. Step 3: Cross multiply
   194,499x = 402,496 × 402,496
4. Step 4: Simplify right side
   194,499x = 162,003,030,016
5. Step 5: Solve for x
   x = 162,003,030,016/194,499
6. Step 6: Final answer
   x = 832,924.75