Finding the Third Proportional to 123,760 and 193,032

Step by Step Solution

1. Step 1: Write the proportion equation
   123,760 : 193,032 = 193,032 : x
2. Step 2: Convert to fraction form
   123,760/193,032 = 193,032/x
3. Step 3: Cross multiply
   123,760x = 193,032 × 193,032
4. Step 4: Simplify right side
   123,760x = 37,261,353,024
5. Step 5: Solve for x
   x = 37,261,353,024/123,760
6. Step 6: Final answer
   x = 301,077.51