Finding the Third Proportional to 114,256 and 170,877.50

Step by Step Solution

1. Step 1: Write the proportion equation
   114,256 : 170,877.50 = 170,877.50 : x
2. Step 2: Convert to fraction form
   114,256/170,877.50 = 170,877.50/x
3. Step 3: Cross multiply
   114,256x = 170,877.50 × 170,877.50
4. Step 4: Simplify right side
   114,256x = 29,199,120,006.25
5. Step 5: Solve for x
   x = 29,199,120,006.25/114,256
6. Step 6: Final answer
   x = 255,558.75