Finding the Third Proportional to 72,832 and 148,344

Step by Step Solution

1. Step 1: Write the proportion equation
   72,832 : 148,344 = 148,344 : x
2. Step 2: Convert to fraction form
   72,832/148,344 = 148,344/x
3. Step 3: Cross multiply
   72,832x = 148,344 × 148,344
4. Step 4: Simplify right side
   72,832x = 22,005,942,336
5. Step 5: Solve for x
   x = 22,005,942,336/72,832
6. Step 6: Final answer
   x = 302,146.62