Finding the Third Proportional to 78,606 and 120,799.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,606 : 120,799.50 = 120,799.50 : x
2. Step 2: Convert to fraction form
   78,606/120,799.50 = 120,799.50/x
3. Step 3: Cross multiply
   78,606x = 120,799.50 × 120,799.50
4. Step 4: Simplify right side
   78,606x = 14,592,519,200.25
5. Step 5: Solve for x
   x = 14,592,519,200.25/78,606
6. Step 6: Final answer
   x = 185,641.29