Finding the Third Proportional to 105,156 and 230,724

Step by Step Solution

1. Step 1: Write the proportion equation
   105,156 : 230,724 = 230,724 : x
2. Step 2: Convert to fraction form
   105,156/230,724 = 230,724/x
3. Step 3: Cross multiply
   105,156x = 230,724 × 230,724
4. Step 4: Simplify right side
   105,156x = 53,233,564,176
5. Step 5: Solve for x
   x = 53,233,564,176/105,156
6. Step 6: Final answer
   x = 506,234.21