Finding the Third Proportional to 131,871 and 289,014

Step by Step Solution

1. Step 1: Write the proportion equation
   131,871 : 289,014 = 289,014 : x
2. Step 2: Convert to fraction form
   131,871/289,014 = 289,014/x
3. Step 3: Cross multiply
   131,871x = 289,014 × 289,014
4. Step 4: Simplify right side
   131,871x = 83,529,092,196
5. Step 5: Solve for x
   x = 83,529,092,196/131,871
6. Step 6: Final answer
   x = 633,415.17