Finding the Third Proportional to 82,410 and 168,735

Step by Step Solution

1. Step 1: Write the proportion equation
   82,410 : 168,735 = 168,735 : x
2. Step 2: Convert to fraction form
   82,410/168,735 = 168,735/x
3. Step 3: Cross multiply
   82,410x = 168,735 × 168,735
4. Step 4: Simplify right side
   82,410x = 28,471,500,225
5. Step 5: Solve for x
   x = 28,471,500,225/82,410
6. Step 6: Final answer
   x = 345,485.99