Finding the Third Proportional to 83,366 and 109,494

Step by Step Solution

1. Step 1: Write the proportion equation
   83,366 : 109,494 = 109,494 : x
2. Step 2: Convert to fraction form
   83,366/109,494 = 109,494/x
3. Step 3: Cross multiply
   83,366x = 109,494 × 109,494
4. Step 4: Simplify right side
   83,366x = 11,988,936,036
5. Step 5: Solve for x
   x = 11,988,936,036/83,366
6. Step 6: Final answer
   x = 143,810.86