Finding the Third Proportional to 174,795 and 380,728.50

Step by Step Solution

1. Step 1: Write the proportion equation
   174,795 : 380,728.50 = 380,728.50 : x
2. Step 2: Convert to fraction form
   174,795/380,728.50 = 380,728.50/x
3. Step 3: Cross multiply
   174,795x = 380,728.50 × 380,728.50
4. Step 4: Simplify right side
   174,795x = 144,954,190,712.25
5. Step 5: Solve for x
   x = 144,954,190,712.25/174,795
6. Step 6: Final answer
   x = 829,281.10