Finding the Third Proportional to 71,814 and 152,268

Step by Step Solution

1. Step 1: Write the proportion equation
   71,814 : 152,268 = 152,268 : x
2. Step 2: Convert to fraction form
   71,814/152,268 = 152,268/x
3. Step 3: Cross multiply
   71,814x = 152,268 × 152,268
4. Step 4: Simplify right side
   71,814x = 23,185,543,824
5. Step 5: Solve for x
   x = 23,185,543,824/71,814
6. Step 6: Final answer
   x = 322,855.49