Finding the Third Proportional to 123,754 and 193,022

Step by Step Solution

1. Step 1: Write the proportion equation
   123,754 : 193,022 = 193,022 : x
2. Step 2: Convert to fraction form
   123,754/193,022 = 193,022/x
3. Step 3: Cross multiply
   123,754x = 193,022 × 193,022
4. Step 4: Simplify right side
   123,754x = 37,257,492,484
5. Step 5: Solve for x
   x = 37,257,492,484/123,754
6. Step 6: Final answer
   x = 301,060.92