Finding the Third Proportional to 79,830 and 119,756.50

Step by Step Solution

1. Step 1: Write the proportion equation
   79,830 : 119,756.50 = 119,756.50 : x
2. Step 2: Convert to fraction form
   79,830/119,756.50 = 119,756.50/x
3. Step 3: Cross multiply
   79,830x = 119,756.50 × 119,756.50
4. Step 4: Simplify right side
   79,830x = 14,341,619,292.25
5. Step 5: Solve for x
   x = 14,341,619,292.25/79,830
6. Step 6: Final answer
   x = 179,652.00