Finding the Third Proportional to 80,412 and 111,114

Step by Step Solution

1. Step 1: Write the proportion equation
   80,412 : 111,114 = 111,114 : x
2. Step 2: Convert to fraction form
   80,412/111,114 = 111,114/x
3. Step 3: Cross multiply
   80,412x = 111,114 × 111,114
4. Step 4: Simplify right side
   80,412x = 12,346,320,996
5. Step 5: Solve for x
   x = 12,346,320,996/80,412
6. Step 6: Final answer
   x = 153,538.29