Finding the Third Proportional to 78,399.50 and 152,857

Step by Step Solution

1. Step 1: Write the proportion equation
   78,399.50 : 152,857 = 152,857 : x
2. Step 2: Convert to fraction form
   78,399.50/152,857 = 152,857/x
3. Step 3: Cross multiply
   78,399.50x = 152,857 × 152,857
4. Step 4: Simplify right side
   78,399.50x = 23,365,262,449
5. Step 5: Solve for x
   x = 23,365,262,449/78,399.50
6. Step 6: Final answer
   x = 298,028.21