Finding the Third Proportional to 106,029 and 231,111

Step by Step Solution

1. Step 1: Write the proportion equation
   106,029 : 231,111 = 231,111 : x
2. Step 2: Convert to fraction form
   106,029/231,111 = 231,111/x
3. Step 3: Cross multiply
   106,029x = 231,111 × 231,111
4. Step 4: Simplify right side
   106,029x = 53,412,294,321
5. Step 5: Solve for x
   x = 53,412,294,321/106,029
6. Step 6: Final answer
   x = 503,751.75