Finding the Third Proportional to 83,670 and 171,415.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,670 : 171,415.50 = 171,415.50 : x
2. Step 2: Convert to fraction form
   83,670/171,415.50 = 171,415.50/x
3. Step 3: Cross multiply
   83,670x = 171,415.50 × 171,415.50
4. Step 4: Simplify right side
   83,670x = 29,383,273,640.25
5. Step 5: Solve for x
   x = 29,383,273,640.25/83,670
6. Step 6: Final answer
   x = 351,180.51