Finding the Third Proportional to 83,584 and 117,150

Step by Step Solution

1. Step 1: Write the proportion equation
   83,584 : 117,150 = 117,150 : x
2. Step 2: Convert to fraction form
   83,584/117,150 = 117,150/x
3. Step 3: Cross multiply
   83,584x = 117,150 × 117,150
4. Step 4: Simplify right side
   83,584x = 13,724,122,500
5. Step 5: Solve for x
   x = 13,724,122,500/83,584
6. Step 6: Final answer
   x = 164,195.57