Finding the Third Proportional to 83,417 and 179,956.25

Step by Step Solution

1. Step 1: Write the proportion equation
   83,417 : 179,956.25 = 179,956.25 : x
2. Step 2: Convert to fraction form
   83,417/179,956.25 = 179,956.25/x
3. Step 3: Cross multiply
   83,417x = 179,956.25 × 179,956.25
4. Step 4: Simplify right side
   83,417x = 32,384,251,914.06
5. Step 5: Solve for x
   x = 32,384,251,914.06/83,417
6. Step 6: Final answer
   x = 388,221.25