Finding the Third Proportional to 174,041.50 and 380,039

Step by Step Solution

1. Step 1: Write the proportion equation
   174,041.50 : 380,039 = 380,039 : x
2. Step 2: Convert to fraction form
   174,041.50/380,039 = 380,039/x
3. Step 3: Cross multiply
   174,041.50x = 380,039 × 380,039
4. Step 4: Simplify right side
   174,041.50x = 144,429,641,521
5. Step 5: Solve for x
   x = 144,429,641,521/174,041.50
6. Step 6: Final answer
   x = 829,857.49