Finding the Third Proportional to 85,891.50 and 174,208.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,891.50 : 174,208.50 = 174,208.50 : x
2. Step 2: Convert to fraction form
   85,891.50/174,208.50 = 174,208.50/x
3. Step 3: Cross multiply
   85,891.50x = 174,208.50 × 174,208.50
4. Step 4: Simplify right side
   85,891.50x = 30,348,601,472.25
5. Step 5: Solve for x
   x = 30,348,601,472.25/85,891.50
6. Step 6: Final answer
   x = 353,336.49