Finding the Third Proportional to 102,870 and 214,488

Step by Step Solution

1. Step 1: Write the proportion equation
   102,870 : 214,488 = 214,488 : x
2. Step 2: Convert to fraction form
   102,870/214,488 = 214,488/x
3. Step 3: Cross multiply
   102,870x = 214,488 × 214,488
4. Step 4: Simplify right side
   102,870x = 46,005,102,144
5. Step 5: Solve for x
   x = 46,005,102,144/102,870
6. Step 6: Final answer
   x = 447,215.92