Finding the Third Proportional to 105,185 and 231,403

Step by Step Solution

1. Step 1: Write the proportion equation
   105,185 : 231,403 = 231,403 : x
2. Step 2: Convert to fraction form
   105,185/231,403 = 231,403/x
3. Step 3: Cross multiply
   105,185x = 231,403 × 231,403
4. Step 4: Simplify right side
   105,185x = 53,547,348,409
5. Step 5: Solve for x
   x = 53,547,348,409/105,185
6. Step 6: Final answer
   x = 509,077.80