Finding the Third Proportional to 81,600 and 109,830

Step by Step Solution

1. Step 1: Write the proportion equation
   81,600 : 109,830 = 109,830 : x
2. Step 2: Convert to fraction form
   81,600/109,830 = 109,830/x
3. Step 3: Cross multiply
   81,600x = 109,830 × 109,830
4. Step 4: Simplify right side
   81,600x = 12,062,628,900
5. Step 5: Solve for x
   x = 12,062,628,900/81,600
6. Step 6: Final answer
   x = 147,826.33