Finding the Third Proportional to 80,729 and 110,820

Step by Step Solution

1. Step 1: Write the proportion equation
   80,729 : 110,820 = 110,820 : x
2. Step 2: Convert to fraction form
   80,729/110,820 = 110,820/x
3. Step 3: Cross multiply
   80,729x = 110,820 × 110,820
4. Step 4: Simplify right side
   80,729x = 12,281,072,400
5. Step 5: Solve for x
   x = 12,281,072,400/80,729
6. Step 6: Final answer
   x = 152,127.15