Finding the Third Proportional to 147,824 and 262,812

Step by Step Solution

1. Step 1: Write the proportion equation
   147,824 : 262,812 = 262,812 : x
2. Step 2: Convert to fraction form
   147,824/262,812 = 262,812/x
3. Step 3: Cross multiply
   147,824x = 262,812 × 262,812
4. Step 4: Simplify right side
   147,824x = 69,070,147,344
5. Step 5: Solve for x
   x = 69,070,147,344/147,824
6. Step 6: Final answer
   x = 467,245.83