Finding the Third Proportional to 105,502.50 and 214,920

Step by Step Solution

1. Step 1: Write the proportion equation
   105,502.50 : 214,920 = 214,920 : x
2. Step 2: Convert to fraction form
   105,502.50/214,920 = 214,920/x
3. Step 3: Cross multiply
   105,502.50x = 214,920 × 214,920
4. Step 4: Simplify right side
   105,502.50x = 46,190,606,400
5. Step 5: Solve for x
   x = 46,190,606,400/105,502.50
6. Step 6: Final answer
   x = 437,815.28