Finding the Third Proportional to 185,026 and 404,292

Step by Step Solution

1. Step 1: Write the proportion equation
   185,026 : 404,292 = 404,292 : x
2. Step 2: Convert to fraction form
   185,026/404,292 = 404,292/x
3. Step 3: Cross multiply
   185,026x = 404,292 × 404,292
4. Step 4: Simplify right side
   185,026x = 163,452,021,264
5. Step 5: Solve for x
   x = 163,452,021,264/185,026
6. Step 6: Final answer
   x = 883,400.29