Finding the Third Proportional to 78,801.75 and 118,282.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,801.75 : 118,282.50 = 118,282.50 : x
2. Step 2: Convert to fraction form
   78,801.75/118,282.50 = 118,282.50/x
3. Step 3: Cross multiply
   78,801.75x = 118,282.50 × 118,282.50
4. Step 4: Simplify right side
   78,801.75x = 13,990,749,806.25
5. Step 5: Solve for x
   x = 13,990,749,806.25/78,801.75
6. Step 6: Final answer
   x = 177,543.64