Finding the Third Proportional to 78,772 and 121,078.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,772 : 121,078.50 = 121,078.50 : x
2. Step 2: Convert to fraction form
   78,772/121,078.50 = 121,078.50/x
3. Step 3: Cross multiply
   78,772x = 121,078.50 × 121,078.50
4. Step 4: Simplify right side
   78,772x = 14,660,003,162.25
5. Step 5: Solve for x
   x = 14,660,003,162.25/78,772
6. Step 6: Final answer
   x = 186,106.78