Finding the Third Proportional to 83,940 and 117,350

Step by Step Solution

1. Step 1: Write the proportion equation
   83,940 : 117,350 = 117,350 : x
2. Step 2: Convert to fraction form
   83,940/117,350 = 117,350/x
3. Step 3: Cross multiply
   83,940x = 117,350 × 117,350
4. Step 4: Simplify right side
   83,940x = 13,771,022,500
5. Step 5: Solve for x
   x = 13,771,022,500/83,940
6. Step 6: Final answer
   x = 164,057.93