Finding the Third Proportional to 81,830 and 111,063

Step by Step Solution

1. Step 1: Write the proportion equation
   81,830 : 111,063 = 111,063 : x
2. Step 2: Convert to fraction form
   81,830/111,063 = 111,063/x
3. Step 3: Cross multiply
   81,830x = 111,063 × 111,063
4. Step 4: Simplify right side
   81,830x = 12,334,989,969
5. Step 5: Solve for x
   x = 12,334,989,969/81,830
6. Step 6: Final answer
   x = 150,739.22