Finding the Third Proportional to 174,729 and 382,171.50

Step by Step Solution

1. Step 1: Write the proportion equation
   174,729 : 382,171.50 = 382,171.50 : x
2. Step 2: Convert to fraction form
   174,729/382,171.50 = 382,171.50/x
3. Step 3: Cross multiply
   174,729x = 382,171.50 × 382,171.50
4. Step 4: Simplify right side
   174,729x = 146,055,055,412.25
5. Step 5: Solve for x
   x = 146,055,055,412.25/174,729
6. Step 6: Final answer
   x = 835,894.76