Finding the Third Proportional to 79,978.50 and 120,172.50

Step by Step Solution

1. Step 1: Write the proportion equation
   79,978.50 : 120,172.50 = 120,172.50 : x
2. Step 2: Convert to fraction form
   79,978.50/120,172.50 = 120,172.50/x
3. Step 3: Cross multiply
   79,978.50x = 120,172.50 × 120,172.50
4. Step 4: Simplify right side
   79,978.50x = 14,441,429,756.25
5. Step 5: Solve for x
   x = 14,441,429,756.25/79,978.50
6. Step 6: Final answer
   x = 180,566.40