Finding the Third Proportional to 83,426.63 and 179,978.63

Step by Step Solution

1. Step 1: Write the proportion equation
   83,426.63 : 179,978.63 = 179,978.63 : x
2. Step 2: Convert to fraction form
   83,426.63/179,978.63 = 179,978.63/x
3. Step 3: Cross multiply
   83,426.63x = 179,978.63 × 179,978.63
4. Step 4: Simplify right side
   83,426.63x = 32,392,305,456.89
5. Step 5: Solve for x
   x = 32,392,305,456.89/83,426.63
6. Step 6: Final answer
   x = 388,272.99