Finding the Third Proportional to 114,876 and 172,435.50

Step by Step Solution

1. Step 1: Write the proportion equation
   114,876 : 172,435.50 = 172,435.50 : x
2. Step 2: Convert to fraction form
   114,876/172,435.50 = 172,435.50/x
3. Step 3: Cross multiply
   114,876x = 172,435.50 × 172,435.50
4. Step 4: Simplify right side
   114,876x = 29,734,001,660.25
5. Step 5: Solve for x
   x = 29,734,001,660.25/114,876
6. Step 6: Final answer
   x = 258,835.63