Finding the Third Proportional to 78,777 and 118,223.25

Step by Step Solution

1. Step 1: Write the proportion equation
   78,777 : 118,223.25 = 118,223.25 : x
2. Step 2: Convert to fraction form
   78,777/118,223.25 = 118,223.25/x
3. Step 3: Cross multiply
   78,777x = 118,223.25 × 118,223.25
4. Step 4: Simplify right side
   78,777x = 13,976,736,840.56
5. Step 5: Solve for x
   x = 13,976,736,840.56/78,777
6. Step 6: Final answer
   x = 177,421.54