Finding the Third Proportional to 78,826.50 and 118,255.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,826.50 : 118,255.50 = 118,255.50 : x
2. Step 2: Convert to fraction form
   78,826.50/118,255.50 = 118,255.50/x
3. Step 3: Cross multiply
   78,826.50x = 118,255.50 × 118,255.50
4. Step 4: Simplify right side
   78,826.50x = 13,984,363,280.25
5. Step 5: Solve for x
   x = 13,984,363,280.25/78,826.50
6. Step 6: Final answer
   x = 177,406.88