Finding the Third Proportional to 78,142.50 and 121,075

Step by Step Solution

1. Step 1: Write the proportion equation
   78,142.50 : 121,075 = 121,075 : x
2. Step 2: Convert to fraction form
   78,142.50/121,075 = 121,075/x
3. Step 3: Cross multiply
   78,142.50x = 121,075 × 121,075
4. Step 4: Simplify right side
   78,142.50x = 14,659,155,625
5. Step 5: Solve for x
   x = 14,659,155,625/78,142.50
6. Step 6: Final answer
   x = 187,595.17