Finding the Third Proportional to 83,687 and 174,143

Step by Step Solution

1. Step 1: Write the proportion equation
   83,687 : 174,143 = 174,143 : x
2. Step 2: Convert to fraction form
   83,687/174,143 = 174,143/x
3. Step 3: Cross multiply
   83,687x = 174,143 × 174,143
4. Step 4: Simplify right side
   83,687x = 30,325,784,449
5. Step 5: Solve for x
   x = 30,325,784,449/83,687
6. Step 6: Final answer
   x = 362,371.51