Finding the Third Proportional to 78,169.50 and 121,116

Step by Step Solution

1. Step 1: Write the proportion equation
   78,169.50 : 121,116 = 121,116 : x
2. Step 2: Convert to fraction form
   78,169.50/121,116 = 121,116/x
3. Step 3: Cross multiply
   78,169.50x = 121,116 × 121,116
4. Step 4: Simplify right side
   78,169.50x = 14,669,085,456
5. Step 5: Solve for x
   x = 14,669,085,456/78,169.50
6. Step 6: Final answer
   x = 187,657.40