Finding the Third Proportional to 83,494.50 and 171,078.75

Step by Step Solution

1. Step 1: Write the proportion equation
   83,494.50 : 171,078.75 = 171,078.75 : x
2. Step 2: Convert to fraction form
   83,494.50/171,078.75 = 171,078.75/x
3. Step 3: Cross multiply
   83,494.50x = 171,078.75 × 171,078.75
4. Step 4: Simplify right side
   83,494.50x = 29,267,938,701.56
5. Step 5: Solve for x
   x = 29,267,938,701.56/83,494.50
6. Step 6: Final answer
   x = 350,537.33