Finding the Third Proportional to 189,597 and 402,522

Step by Step Solution

1. Step 1: Write the proportion equation
   189,597 : 402,522 = 402,522 : x
2. Step 2: Convert to fraction form
   189,597/402,522 = 402,522/x
3. Step 3: Cross multiply
   189,597x = 402,522 × 402,522
4. Step 4: Simplify right side
   189,597x = 162,023,960,484
5. Step 5: Solve for x
   x = 162,023,960,484/189,597
6. Step 6: Final answer
   x = 854,570.28