Finding the Third Proportional to 81,658 and 174,979.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,658 : 174,979.50 = 174,979.50 : x
2. Step 2: Convert to fraction form
   81,658/174,979.50 = 174,979.50/x
3. Step 3: Cross multiply
   81,658x = 174,979.50 × 174,979.50
4. Step 4: Simplify right side
   81,658x = 30,617,825,420.25
5. Step 5: Solve for x
   x = 30,617,825,420.25/81,658
6. Step 6: Final answer
   x = 374,951.94