Finding the Third Proportional to 196,146 and 415,468

Step by Step Solution

1. Step 1: Write the proportion equation
   196,146 : 415,468 = 415,468 : x
2. Step 2: Convert to fraction form
   196,146/415,468 = 415,468/x
3. Step 3: Cross multiply
   196,146x = 415,468 × 415,468
4. Step 4: Simplify right side
   196,146x = 172,613,659,024
5. Step 5: Solve for x
   x = 172,613,659,024/196,146
6. Step 6: Final answer
   x = 880,026.40