Finding the Third Proportional to 106,030 and 231,113

Step by Step Solution

1. Step 1: Write the proportion equation
   106,030 : 231,113 = 231,113 : x
2. Step 2: Convert to fraction form
   106,030/231,113 = 231,113/x
3. Step 3: Cross multiply
   106,030x = 231,113 × 231,113
4. Step 4: Simplify right side
   106,030x = 53,413,218,769
5. Step 5: Solve for x
   x = 53,413,218,769/106,030
6. Step 6: Final answer
   x = 503,755.72