Finding the Third Proportional to 175,831 and 272,665.50

Step by Step Solution

1. Step 1: Write the proportion equation
   175,831 : 272,665.50 = 272,665.50 : x
2. Step 2: Convert to fraction form
   175,831/272,665.50 = 272,665.50/x
3. Step 3: Cross multiply
   175,831x = 272,665.50 × 272,665.50
4. Step 4: Simplify right side
   175,831x = 74,346,474,890.25
5. Step 5: Solve for x
   x = 74,346,474,890.25/175,831
6. Step 6: Final answer
   x = 422,829.16