Finding the Third Proportional to 78,142.50 and 168,151.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,142.50 : 168,151.50 = 168,151.50 : x
2. Step 2: Convert to fraction form
   78,142.50/168,151.50 = 168,151.50/x
3. Step 3: Cross multiply
   78,142.50x = 168,151.50 × 168,151.50
4. Step 4: Simplify right side
   78,142.50x = 28,274,926,952.25
5. Step 5: Solve for x
   x = 28,274,926,952.25/78,142.50
6. Step 6: Final answer
   x = 361,838.01