Finding the Third Proportional to 99,538 and 148,942

Step by Step Solution

1. Step 1: Write the proportion equation
   99,538 : 148,942 = 148,942 : x
2. Step 2: Convert to fraction form
   99,538/148,942 = 148,942/x
3. Step 3: Cross multiply
   99,538x = 148,942 × 148,942
4. Step 4: Simplify right side
   99,538x = 22,183,719,364
5. Step 5: Solve for x
   x = 22,183,719,364/99,538
6. Step 6: Final answer
   x = 222,866.84