Finding the Third Proportional to 123,780 and 193,065

Step by Step Solution

1. Step 1: Write the proportion equation
   123,780 : 193,065 = 193,065 : x
2. Step 2: Convert to fraction form
   123,780/193,065 = 193,065/x
3. Step 3: Cross multiply
   123,780x = 193,065 × 193,065
4. Step 4: Simplify right side
   123,780x = 37,274,094,225
5. Step 5: Solve for x
   x = 37,274,094,225/123,780
6. Step 6: Final answer
   x = 301,131.80