Finding the Third Proportional to 83,486 and 105,783

Step by Step Solution

1. Step 1: Write the proportion equation
   83,486 : 105,783 = 105,783 : x
2. Step 2: Convert to fraction form
   83,486/105,783 = 105,783/x
3. Step 3: Cross multiply
   83,486x = 105,783 × 105,783
4. Step 4: Simplify right side
   83,486x = 11,190,043,089
5. Step 5: Solve for x
   x = 11,190,043,089/83,486
6. Step 6: Final answer
   x = 134,034.97