Finding the Third Proportional to 78,141.50 and 121,073.25

Step by Step Solution

1. Step 1: Write the proportion equation
   78,141.50 : 121,073.25 = 121,073.25 : x
2. Step 2: Convert to fraction form
   78,141.50/121,073.25 = 121,073.25/x
3. Step 3: Cross multiply
   78,141.50x = 121,073.25 × 121,073.25
4. Step 4: Simplify right side
   78,141.50x = 14,658,731,865.56
5. Step 5: Solve for x
   x = 14,658,731,865.56/78,141.50
6. Step 6: Final answer
   x = 187,592.15