Finding the Third Proportional to 67,888 and 147,824

Step by Step Solution

1. Step 1: Write the proportion equation
   67,888 : 147,824 = 147,824 : x
2. Step 2: Convert to fraction form
   67,888/147,824 = 147,824/x
3. Step 3: Cross multiply
   67,888x = 147,824 × 147,824
4. Step 4: Simplify right side
   67,888x = 21,851,934,976
5. Step 5: Solve for x
   x = 21,851,934,976/67,888
6. Step 6: Final answer
   x = 321,882.14