Finding the Third Proportional to 174,040 and 380,036

Step by Step Solution

1. Step 1: Write the proportion equation
   174,040 : 380,036 = 380,036 : x
2. Step 2: Convert to fraction form
   174,040/380,036 = 380,036/x
3. Step 3: Cross multiply
   174,040x = 380,036 × 380,036
4. Step 4: Simplify right side
   174,040x = 144,427,361,296
5. Step 5: Solve for x
   x = 144,427,361,296/174,040
6. Step 6: Final answer
   x = 829,851.54