Finding the Third Proportional to 106,576 and 216,140

Step by Step Solution

1. Step 1: Write the proportion equation
   106,576 : 216,140 = 216,140 : x
2. Step 2: Convert to fraction form
   106,576/216,140 = 216,140/x
3. Step 3: Cross multiply
   106,576x = 216,140 × 216,140
4. Step 4: Simplify right side
   106,576x = 46,716,499,600
5. Step 5: Solve for x
   x = 46,716,499,600/106,576
6. Step 6: Final answer
   x = 438,339.77