Finding the Third Proportional to 174,720.50 and 378,002

Step by Step Solution

1. Step 1: Write the proportion equation
   174,720.50 : 378,002 = 378,002 : x
2. Step 2: Convert to fraction form
   174,720.50/378,002 = 378,002/x
3. Step 3: Cross multiply
   174,720.50x = 378,002 × 378,002
4. Step 4: Simplify right side
   174,720.50x = 142,885,512,004
5. Step 5: Solve for x
   x = 142,885,512,004/174,720.50
6. Step 6: Final answer
   x = 817,794.78