Finding the Third Proportional to 359,918.25 and 787,633.50

Step by Step Solution

1. Step 1: Write the proportion equation
   359,918.25 : 787,633.50 = 787,633.50 : x
2. Step 2: Convert to fraction form
   359,918.25/787,633.50 = 787,633.50/x
3. Step 3: Cross multiply
   359,918.25x = 787,633.50 × 787,633.50
4. Step 4: Simplify right side
   359,918.25x = 620,366,530,322.25
5. Step 5: Solve for x
   x = 620,366,530,322.25/359,918.25
6. Step 6: Final answer
   x = 1,723,631.77