Finding the Third Proportional to 116,580.38 and 174,872.25

Step by Step Solution

1. Step 1: Write the proportion equation
   116,580.38 : 174,872.25 = 174,872.25 : x
2. Step 2: Convert to fraction form
   116,580.38/174,872.25 = 174,872.25/x
3. Step 3: Cross multiply
   116,580.38x = 174,872.25 × 174,872.25
4. Step 4: Simplify right side
   116,580.38x = 30,580,303,820.06
5. Step 5: Solve for x
   x = 30,580,303,820.06/116,580.38
6. Step 6: Final answer
   x = 262,310.91