Finding the Third Proportional to 83,181 and 117,157.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,181 : 117,157.50 = 117,157.50 : x
2. Step 2: Convert to fraction form
   83,181/117,157.50 = 117,157.50/x
3. Step 3: Cross multiply
   83,181x = 117,157.50 × 117,157.50
4. Step 4: Simplify right side
   83,181x = 13,725,879,806.25
5. Step 5: Solve for x
   x = 13,725,879,806.25/83,181
6. Step 6: Final answer
   x = 165,012.20