Finding the Third Proportional to 78,061.50 and 170,266.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,061.50 : 170,266.50 = 170,266.50 : x
2. Step 2: Convert to fraction form
   78,061.50/170,266.50 = 170,266.50/x
3. Step 3: Cross multiply
   78,061.50x = 170,266.50 × 170,266.50
4. Step 4: Simplify right side
   78,061.50x = 28,990,681,022.25
5. Step 5: Solve for x
   x = 28,990,681,022.25/78,061.50
6. Step 6: Final answer
   x = 371,382.58