Finding the Third Proportional to 116,649 and 174,939.75

Step by Step Solution

1. Step 1: Write the proportion equation
   116,649 : 174,939.75 = 174,939.75 : x
2. Step 2: Convert to fraction form
   116,649/174,939.75 = 174,939.75/x
3. Step 3: Cross multiply
   116,649x = 174,939.75 × 174,939.75
4. Step 4: Simplify right side
   116,649x = 30,603,916,130.06
5. Step 5: Solve for x
   x = 30,603,916,130.06/116,649
6. Step 6: Final answer
   x = 262,359.01