Finding the Third Proportional to 131,648 and 285,172

Step by Step Solution

1. Step 1: Write the proportion equation
   131,648 : 285,172 = 285,172 : x
2. Step 2: Convert to fraction form
   131,648/285,172 = 285,172/x
3. Step 3: Cross multiply
   131,648x = 285,172 × 285,172
4. Step 4: Simplify right side
   131,648x = 81,323,069,584
5. Step 5: Solve for x
   x = 81,323,069,584/131,648
6. Step 6: Final answer
   x = 617,731.14