Finding the Third Proportional to 83,219.91 and 117,754.38

Step by Step Solution

1. Step 1: Write the proportion equation
   83,219.91 : 117,754.38 = 117,754.38 : x
2. Step 2: Convert to fraction form
   83,219.91/117,754.38 = 117,754.38/x
3. Step 3: Cross multiply
   83,219.91x = 117,754.38 × 117,754.38
4. Step 4: Simplify right side
   83,219.91x = 13,866,094,671.55
5. Step 5: Solve for x
   x = 13,866,094,671.55/83,219.91
6. Step 6: Final answer
   x = 166,619.93