Finding the Third Proportional to 78,665.50 and 170,448.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,665.50 : 170,448.50 = 170,448.50 : x
2. Step 2: Convert to fraction form
   78,665.50/170,448.50 = 170,448.50/x
3. Step 3: Cross multiply
   78,665.50x = 170,448.50 × 170,448.50
4. Step 4: Simplify right side
   78,665.50x = 29,052,691,152.25
5. Step 5: Solve for x
   x = 29,052,691,152.25/78,665.50
6. Step 6: Final answer
   x = 369,319.35