Finding the Third Proportional to 106,072 and 231,076

Step by Step Solution

1. Step 1: Write the proportion equation
   106,072 : 231,076 = 231,076 : x
2. Step 2: Convert to fraction form
   106,072/231,076 = 231,076/x
3. Step 3: Cross multiply
   106,072x = 231,076 × 231,076
4. Step 4: Simplify right side
   106,072x = 53,396,117,776
5. Step 5: Solve for x
   x = 53,396,117,776/106,072
6. Step 6: Final answer
   x = 503,395.03