Finding the Third Proportional to 99,002 and 213,460

Step by Step Solution

1. Step 1: Write the proportion equation
   99,002 : 213,460 = 213,460 : x
2. Step 2: Convert to fraction form
   99,002/213,460 = 213,460/x
3. Step 3: Cross multiply
   99,002x = 213,460 × 213,460
4. Step 4: Simplify right side
   99,002x = 45,565,171,600
5. Step 5: Solve for x
   x = 45,565,171,600/99,002
6. Step 6: Final answer
   x = 460,244.96