Finding the Third Proportional to 105,662 and 232,060

Step by Step Solution

1. Step 1: Write the proportion equation
   105,662 : 232,060 = 232,060 : x
2. Step 2: Convert to fraction form
   105,662/232,060 = 232,060/x
3. Step 3: Cross multiply
   105,662x = 232,060 × 232,060
4. Step 4: Simplify right side
   105,662x = 53,851,843,600
5. Step 5: Solve for x
   x = 53,851,843,600/105,662
6. Step 6: Final answer
   x = 509,661.41