Finding the Third Proportional to 99,402 and 213,000

Step by Step Solution

1. Step 1: Write the proportion equation
   99,402 : 213,000 = 213,000 : x
2. Step 2: Convert to fraction form
   99,402/213,000 = 213,000/x
3. Step 3: Cross multiply
   99,402x = 213,000 × 213,000
4. Step 4: Simplify right side
   99,402x = 45,369,000,000
5. Step 5: Solve for x
   x = 45,369,000,000/99,402
6. Step 6: Final answer
   x = 456,419.39