Finding the Third Proportional to 102,061 and 216,271

Step by Step Solution

1. Step 1: Write the proportion equation
   102,061 : 216,271 = 216,271 : x
2. Step 2: Convert to fraction form
   102,061/216,271 = 216,271/x
3. Step 3: Cross multiply
   102,061x = 216,271 × 216,271
4. Step 4: Simplify right side
   102,061x = 46,773,145,441
5. Step 5: Solve for x
   x = 46,773,145,441/102,061
6. Step 6: Final answer
   x = 458,286.18