Finding the Third Proportional to 83,433.50 and 172,778.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,433.50 : 172,778.50 = 172,778.50 : x
2. Step 2: Convert to fraction form
   83,433.50/172,778.50 = 172,778.50/x
3. Step 3: Cross multiply
   83,433.50x = 172,778.50 × 172,778.50
4. Step 4: Simplify right side
   83,433.50x = 29,852,410,062.25
5. Step 5: Solve for x
   x = 29,852,410,062.25/83,433.50
6. Step 6: Final answer
   x = 357,798.85