Finding the Third Proportional to 105,876 and 232,500

Step by Step Solution

1. Step 1: Write the proportion equation
   105,876 : 232,500 = 232,500 : x
2. Step 2: Convert to fraction form
   105,876/232,500 = 232,500/x
3. Step 3: Cross multiply
   105,876x = 232,500 × 232,500
4. Step 4: Simplify right side
   105,876x = 54,056,250,000
5. Step 5: Solve for x
   x = 54,056,250,000/105,876
6. Step 6: Final answer
   x = 510,561.88