Finding the Third Proportional to 105,878 and 232,746.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,878 : 232,746.50 = 232,746.50 : x
2. Step 2: Convert to fraction form
   105,878/232,746.50 = 232,746.50/x
3. Step 3: Cross multiply
   105,878x = 232,746.50 × 232,746.50
4. Step 4: Simplify right side
   105,878x = 54,170,933,262.25
5. Step 5: Solve for x
   x = 54,170,933,262.25/105,878
6. Step 6: Final answer
   x = 511,635.40