Finding the Third Proportional to 106,132 and 231,002

Step by Step Solution

1. Step 1: Write the proportion equation
   106,132 : 231,002 = 231,002 : x
2. Step 2: Convert to fraction form
   106,132/231,002 = 231,002/x
3. Step 3: Cross multiply
   106,132x = 231,002 × 231,002
4. Step 4: Simplify right side
   106,132x = 53,361,924,004
5. Step 5: Solve for x
   x = 53,361,924,004/106,132
6. Step 6: Final answer
   x = 502,788.26