Finding the Third Proportional to 123,774 and 193,056

Step by Step Solution

1. Step 1: Write the proportion equation
   123,774 : 193,056 = 193,056 : x
2. Step 2: Convert to fraction form
   123,774/193,056 = 193,056/x
3. Step 3: Cross multiply
   123,774x = 193,056 × 193,056
4. Step 4: Simplify right side
   123,774x = 37,270,619,136
5. Step 5: Solve for x
   x = 37,270,619,136/123,774
6. Step 6: Final answer
   x = 301,118.32