Finding the Third Proportional to 174,036 and 380,028

Step by Step Solution

1. Step 1: Write the proportion equation
   174,036 : 380,028 = 380,028 : x
2. Step 2: Convert to fraction form
   174,036/380,028 = 380,028/x
3. Step 3: Cross multiply
   174,036x = 380,028 × 380,028
4. Step 4: Simplify right side
   174,036x = 144,421,280,784
5. Step 5: Solve for x
   x = 144,421,280,784/174,036
6. Step 6: Final answer
   x = 829,835.67