Finding the Third Proportional to 73,851 and 152,057

Step by Step Solution

1. Step 1: Write the proportion equation
   73,851 : 152,057 = 152,057 : x
2. Step 2: Convert to fraction form
   73,851/152,057 = 152,057/x
3. Step 3: Cross multiply
   73,851x = 152,057 × 152,057
4. Step 4: Simplify right side
   73,851x = 23,121,331,249
5. Step 5: Solve for x
   x = 23,121,331,249/73,851
6. Step 6: Final answer
   x = 313,080.81