Finding the Third Proportional to 105,894 and 233,100

Step by Step Solution

1. Step 1: Write the proportion equation
   105,894 : 233,100 = 233,100 : x
2. Step 2: Convert to fraction form
   105,894/233,100 = 233,100/x
3. Step 3: Cross multiply
   105,894x = 233,100 × 233,100
4. Step 4: Simplify right side
   105,894x = 54,335,610,000
5. Step 5: Solve for x
   x = 54,335,610,000/105,894
6. Step 6: Final answer
   x = 513,113.21