Finding the Third Proportional to 123,753 and 193,020.75

Step by Step Solution

1. Step 1: Write the proportion equation
   123,753 : 193,020.75 = 193,020.75 : x
2. Step 2: Convert to fraction form
   123,753/193,020.75 = 193,020.75/x
3. Step 3: Cross multiply
   123,753x = 193,020.75 × 193,020.75
4. Step 4: Simplify right side
   123,753x = 37,257,009,930.56
5. Step 5: Solve for x
   x = 37,257,009,930.56/123,753
6. Step 6: Final answer
   x = 301,059.45