Finding the Third Proportional to 421,196 and 647,076

Step by Step Solution

1. Step 1: Write the proportion equation
   421,196 : 647,076 = 647,076 : x
2. Step 2: Convert to fraction form
   421,196/647,076 = 647,076/x
3. Step 3: Cross multiply
   421,196x = 647,076 × 647,076
4. Step 4: Simplify right side
   421,196x = 418,707,349,776
5. Step 5: Solve for x
   x = 418,707,349,776/421,196
6. Step 6: Final answer
   x = 994,091.47