Finding the Third Proportional to 83,579.25 and 122,168.25

Step by Step Solution

1. Step 1: Write the proportion equation
   83,579.25 : 122,168.25 = 122,168.25 : x
2. Step 2: Convert to fraction form
   83,579.25/122,168.25 = 122,168.25/x
3. Step 3: Cross multiply
   83,579.25x = 122,168.25 × 122,168.25
4. Step 4: Simplify right side
   83,579.25x = 14,925,081,308.06
5. Step 5: Solve for x
   x = 14,925,081,308.06/83,579.25
6. Step 6: Final answer
   x = 178,574.00