Finding the Third Proportional to 83,184 and 117,701.25

Step by Step Solution

1. Step 1: Write the proportion equation
   83,184 : 117,701.25 = 117,701.25 : x
2. Step 2: Convert to fraction form
   83,184/117,701.25 = 117,701.25/x
3. Step 3: Cross multiply
   83,184x = 117,701.25 × 117,701.25
4. Step 4: Simplify right side
   83,184x = 13,853,584,251.56
5. Step 5: Solve for x
   x = 13,853,584,251.56/83,184
6. Step 6: Final answer
   x = 166,541.45