Finding the Third Proportional to 83,181.75 and 117,697.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,181.75 : 117,697.50 = 117,697.50 : x
2. Step 2: Convert to fraction form
   83,181.75/117,697.50 = 117,697.50/x
3. Step 3: Cross multiply
   83,181.75x = 117,697.50 × 117,697.50
4. Step 4: Simplify right side
   83,181.75x = 13,852,701,506.25
5. Step 5: Solve for x
   x = 13,852,701,506.25/83,181.75
6. Step 6: Final answer
   x = 166,535.35