Finding the Third Proportional to 172,993 and 380,038

Step by Step Solution

1. Step 1: Write the proportion equation
   172,993 : 380,038 = 380,038 : x
2. Step 2: Convert to fraction form
   172,993/380,038 = 380,038/x
3. Step 3: Cross multiply
   172,993x = 380,038 × 380,038
4. Step 4: Simplify right side
   172,993x = 144,428,881,444
5. Step 5: Solve for x
   x = 144,428,881,444/172,993
6. Step 6: Final answer
   x = 834,882.81