Finding the Third Proportional to 174,022 and 380,003

Step by Step Solution

1. Step 1: Write the proportion equation
   174,022 : 380,003 = 380,003 : x
2. Step 2: Convert to fraction form
   174,022/380,003 = 380,003/x
3. Step 3: Cross multiply
   174,022x = 380,003 × 380,003
4. Step 4: Simplify right side
   174,022x = 144,402,280,009
5. Step 5: Solve for x
   x = 144,402,280,009/174,022
6. Step 6: Final answer
   x = 829,793.24