Finding the Third Proportional to 179,887.50 and 416,488.50

Step by Step Solution

1. Step 1: Write the proportion equation
   179,887.50 : 416,488.50 = 416,488.50 : x
2. Step 2: Convert to fraction form
   179,887.50/416,488.50 = 416,488.50/x
3. Step 3: Cross multiply
   179,887.50x = 416,488.50 × 416,488.50
4. Step 4: Simplify right side
   179,887.50x = 173,462,670,632.25
5. Step 5: Solve for x
   x = 173,462,670,632.25/179,887.50
6. Step 6: Final answer
   x = 964,284.18