Finding the Third Proportional to 105,658 and 216,174

Step by Step Solution

1. Step 1: Write the proportion equation
   105,658 : 216,174 = 216,174 : x
2. Step 2: Convert to fraction form
   105,658/216,174 = 216,174/x
3. Step 3: Cross multiply
   105,658x = 216,174 × 216,174
4. Step 4: Simplify right side
   105,658x = 46,731,198,276
5. Step 5: Solve for x
   x = 46,731,198,276/105,658
6. Step 6: Final answer
   x = 442,287.36