Finding the Third Proportional to 73,116 and 148,824

Step by Step Solution

1. Step 1: Write the proportion equation
   73,116 : 148,824 = 148,824 : x
2. Step 2: Convert to fraction form
   73,116/148,824 = 148,824/x
3. Step 3: Cross multiply
   73,116x = 148,824 × 148,824
4. Step 4: Simplify right side
   73,116x = 22,148,582,976
5. Step 5: Solve for x
   x = 22,148,582,976/73,116
6. Step 6: Final answer
   x = 302,923.89