Finding the Third Proportional to 79,820 and 106,509.50

Step by Step Solution

1. Step 1: Write the proportion equation
   79,820 : 106,509.50 = 106,509.50 : x
2. Step 2: Convert to fraction form
   79,820/106,509.50 = 106,509.50/x
3. Step 3: Cross multiply
   79,820x = 106,509.50 × 106,509.50
4. Step 4: Simplify right side
   79,820x = 11,344,273,590.25
5. Step 5: Solve for x
   x = 11,344,273,590.25/79,820
6. Step 6: Final answer
   x = 142,123.20