Finding the Third Proportional to 105,624 and 234,862

Step by Step Solution

1. Step 1: Write the proportion equation
   105,624 : 234,862 = 234,862 : x
2. Step 2: Convert to fraction form
   105,624/234,862 = 234,862/x
3. Step 3: Cross multiply
   105,624x = 234,862 × 234,862
4. Step 4: Simplify right side
   105,624x = 55,160,159,044
5. Step 5: Solve for x
   x = 55,160,159,044/105,624
6. Step 6: Final answer
   x = 522,231.30