Finding the Third Proportional to 123,694 and 192,007

Step by Step Solution

1. Step 1: Write the proportion equation
   123,694 : 192,007 = 192,007 : x
2. Step 2: Convert to fraction form
   123,694/192,007 = 192,007/x
3. Step 3: Cross multiply
   123,694x = 192,007 × 192,007
4. Step 4: Simplify right side
   123,694x = 36,866,688,049
5. Step 5: Solve for x
   x = 36,866,688,049/123,694
6. Step 6: Final answer
   x = 298,047.50