Finding the Third Proportional to 85,899.25 and 174,106.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,899.25 : 174,106.50 = 174,106.50 : x
2. Step 2: Convert to fraction form
   85,899.25/174,106.50 = 174,106.50/x
3. Step 3: Cross multiply
   85,899.25x = 174,106.50 × 174,106.50
4. Step 4: Simplify right side
   85,899.25x = 30,313,073,342.25
5. Step 5: Solve for x
   x = 30,313,073,342.25/85,899.25
6. Step 6: Final answer
   x = 352,891.01