Finding the Third Proportional to 83,222 and 121,718.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,222 : 121,718.50 = 121,718.50 : x
2. Step 2: Convert to fraction form
   83,222/121,718.50 = 121,718.50/x
3. Step 3: Cross multiply
   83,222x = 121,718.50 × 121,718.50
4. Step 4: Simplify right side
   83,222x = 14,815,393,242.25
5. Step 5: Solve for x
   x = 14,815,393,242.25/83,222
6. Step 6: Final answer
   x = 178,022.56