Finding the Third Proportional to 186,506 and 402,496

Step by Step Solution

1. Step 1: Write the proportion equation
   186,506 : 402,496 = 402,496 : x
2. Step 2: Convert to fraction form
   186,506/402,496 = 402,496/x
3. Step 3: Cross multiply
   186,506x = 402,496 × 402,496
4. Step 4: Simplify right side
   186,506x = 162,003,030,016
5. Step 5: Solve for x
   x = 162,003,030,016/186,506
6. Step 6: Final answer
   x = 868,621.01