Finding the Third Proportional to 105,657 and 216,175.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,657 : 216,175.50 = 216,175.50 : x
2. Step 2: Convert to fraction form
   105,657/216,175.50 = 216,175.50/x
3. Step 3: Cross multiply
   105,657x = 216,175.50 × 216,175.50
4. Step 4: Simplify right side
   105,657x = 46,731,846,800.25
5. Step 5: Solve for x
   x = 46,731,846,800.25/105,657
6. Step 6: Final answer
   x = 442,297.69