Finding the Third Proportional to 105,588 and 215,460

Step by Step Solution

1. Step 1: Write the proportion equation
   105,588 : 215,460 = 215,460 : x
2. Step 2: Convert to fraction form
   105,588/215,460 = 215,460/x
3. Step 3: Cross multiply
   105,588x = 215,460 × 215,460
4. Step 4: Simplify right side
   105,588x = 46,423,011,600
5. Step 5: Solve for x
   x = 46,423,011,600/105,588
6. Step 6: Final answer
   x = 439,661.81