Finding the Third Proportional to 174,864 and 380,868

Step by Step Solution

1. Step 1: Write the proportion equation
   174,864 : 380,868 = 380,868 : x
2. Step 2: Convert to fraction form
   174,864/380,868 = 380,868/x
3. Step 3: Cross multiply
   174,864x = 380,868 × 380,868
4. Step 4: Simplify right side
   174,864x = 145,060,433,424
5. Step 5: Solve for x
   x = 145,060,433,424/174,864
6. Step 6: Final answer
   x = 829,561.45