Finding the Third Proportional to 78,641 and 171,105.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,641 : 171,105.50 = 171,105.50 : x
2. Step 2: Convert to fraction form
   78,641/171,105.50 = 171,105.50/x
3. Step 3: Cross multiply
   78,641x = 171,105.50 × 171,105.50
4. Step 4: Simplify right side
   78,641x = 29,277,092,130.25
5. Step 5: Solve for x
   x = 29,277,092,130.25/78,641
6. Step 6: Final answer
   x = 372,287.89