Finding the Third Proportional to 114,878 and 171,628.50

Step by Step Solution

1. Step 1: Write the proportion equation
   114,878 : 171,628.50 = 171,628.50 : x
2. Step 2: Convert to fraction form
   114,878/171,628.50 = 171,628.50/x
3. Step 3: Cross multiply
   114,878x = 171,628.50 × 171,628.50
4. Step 4: Simplify right side
   114,878x = 29,456,342,012.25
5. Step 5: Solve for x
   x = 29,456,342,012.25/114,878
6. Step 6: Final answer
   x = 256,414.13