Finding the Third Proportional to 174,829.50 and 386,406

Step by Step Solution

1. Step 1: Write the proportion equation
   174,829.50 : 386,406 = 386,406 : x
2. Step 2: Convert to fraction form
   174,829.50/386,406 = 386,406/x
3. Step 3: Cross multiply
   174,829.50x = 386,406 × 386,406
4. Step 4: Simplify right side
   174,829.50x = 149,309,596,836
5. Step 5: Solve for x
   x = 149,309,596,836/174,829.50
6. Step 6: Final answer
   x = 854,029.77