Finding the Third Proportional to 174,097 and 380,996

Step by Step Solution

1. Step 1: Write the proportion equation
   174,097 : 380,996 = 380,996 : x
2. Step 2: Convert to fraction form
   174,097/380,996 = 380,996/x
3. Step 3: Cross multiply
   174,097x = 380,996 × 380,996
4. Step 4: Simplify right side
   174,097x = 145,157,952,016
5. Step 5: Solve for x
   x = 145,157,952,016/174,097
6. Step 6: Final answer
   x = 833,776.30