Finding the Third Proportional to 96,755.50 and 205,256

Step by Step Solution

1. Step 1: Write the proportion equation
   96,755.50 : 205,256 = 205,256 : x
2. Step 2: Convert to fraction form
   96,755.50/205,256 = 205,256/x
3. Step 3: Cross multiply
   96,755.50x = 205,256 × 205,256
4. Step 4: Simplify right side
   96,755.50x = 42,130,025,536
5. Step 5: Solve for x
   x = 42,130,025,536/96,755.50
6. Step 6: Final answer
   x = 435,427.71