Finding the Third Proportional to 157,831 and 212,648.50

Step by Step Solution

1. Step 1: Write the proportion equation
   157,831 : 212,648.50 = 212,648.50 : x
2. Step 2: Convert to fraction form
   157,831/212,648.50 = 212,648.50/x
3. Step 3: Cross multiply
   157,831x = 212,648.50 × 212,648.50
4. Step 4: Simplify right side
   157,831x = 45,219,384,552.25
5. Step 5: Solve for x
   x = 45,219,384,552.25/157,831
6. Step 6: Final answer
   x = 286,505.09