Finding the Third Proportional to 105,267 and 233,862

Step by Step Solution

1. Step 1: Write the proportion equation
   105,267 : 233,862 = 233,862 : x
2. Step 2: Convert to fraction form
   105,267/233,862 = 233,862/x
3. Step 3: Cross multiply
   105,267x = 233,862 × 233,862
4. Step 4: Simplify right side
   105,267x = 54,691,435,044
5. Step 5: Solve for x
   x = 54,691,435,044/105,267
6. Step 6: Final answer
   x = 519,549.67