Finding the Third Proportional to 83,034 and 171,978.75

Step by Step Solution

1. Step 1: Write the proportion equation
   83,034 : 171,978.75 = 171,978.75 : x
2. Step 2: Convert to fraction form
   83,034/171,978.75 = 171,978.75/x
3. Step 3: Cross multiply
   83,034x = 171,978.75 × 171,978.75
4. Step 4: Simplify right side
   83,034x = 29,576,690,451.56
5. Step 5: Solve for x
   x = 29,576,690,451.56/83,034
6. Step 6: Final answer
   x = 356,199.75