Finding the Third Proportional to 78,782.50 and 168,639.25

Step by Step Solution

1. Step 1: Write the proportion equation
   78,782.50 : 168,639.25 = 168,639.25 : x
2. Step 2: Convert to fraction form
   78,782.50/168,639.25 = 168,639.25/x
3. Step 3: Cross multiply
   78,782.50x = 168,639.25 × 168,639.25
4. Step 4: Simplify right side
   78,782.50x = 28,439,196,640.56
5. Step 5: Solve for x
   x = 28,439,196,640.56/78,782.50
6. Step 6: Final answer
   x = 360,983.68