Finding the Third Proportional to 82,830 and 110,356

Step by Step Solution

1. Step 1: Write the proportion equation
   82,830 : 110,356 = 110,356 : x
2. Step 2: Convert to fraction form
   82,830/110,356 = 110,356/x
3. Step 3: Cross multiply
   82,830x = 110,356 × 110,356
4. Step 4: Simplify right side
   82,830x = 12,178,446,736
5. Step 5: Solve for x
   x = 12,178,446,736/82,830
6. Step 6: Final answer
   x = 147,029.42