Finding the Third Proportional to 103,644 and 215,076

Step by Step Solution

1. Step 1: Write the proportion equation
   103,644 : 215,076 = 215,076 : x
2. Step 2: Convert to fraction form
   103,644/215,076 = 215,076/x
3. Step 3: Cross multiply
   103,644x = 215,076 × 215,076
4. Step 4: Simplify right side
   103,644x = 46,257,685,776
5. Step 5: Solve for x
   x = 46,257,685,776/103,644
6. Step 6: Final answer
   x = 446,313.20