Finding the Third Proportional to 83,685 and 174,139

Step by Step Solution

1. Step 1: Write the proportion equation
   83,685 : 174,139 = 174,139 : x
2. Step 2: Convert to fraction form
   83,685/174,139 = 174,139/x
3. Step 3: Cross multiply
   83,685x = 174,139 × 174,139
4. Step 4: Simplify right side
   83,685x = 30,324,391,321
5. Step 5: Solve for x
   x = 30,324,391,321/83,685
6. Step 6: Final answer
   x = 362,363.52