Finding the Third Proportional to 73,800 and 152,851

Step by Step Solution

1. Step 1: Write the proportion equation
   73,800 : 152,851 = 152,851 : x
2. Step 2: Convert to fraction form
   73,800/152,851 = 152,851/x
3. Step 3: Cross multiply
   73,800x = 152,851 × 152,851
4. Step 4: Simplify right side
   73,800x = 23,363,428,201
5. Step 5: Solve for x
   x = 23,363,428,201/73,800
6. Step 6: Final answer
   x = 316,577.62