Finding the Third Proportional to 78,157.50 and 121,096.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,157.50 : 121,096.50 = 121,096.50 : x
2. Step 2: Convert to fraction form
   78,157.50/121,096.50 = 121,096.50/x
3. Step 3: Cross multiply
   78,157.50x = 121,096.50 × 121,096.50
4. Step 4: Simplify right side
   78,157.50x = 14,664,362,312.25
5. Step 5: Solve for x
   x = 14,664,362,312.25/78,157.50
6. Step 6: Final answer
   x = 187,625.79