Finding the Third Proportional to 185,853 and 407,274

Step by Step Solution

1. Step 1: Write the proportion equation
   185,853 : 407,274 = 407,274 : x
2. Step 2: Convert to fraction form
   185,853/407,274 = 407,274/x
3. Step 3: Cross multiply
   185,853x = 407,274 × 407,274
4. Step 4: Simplify right side
   185,853x = 165,872,111,076
5. Step 5: Solve for x
   x = 165,872,111,076/185,853
6. Step 6: Final answer
   x = 892,490.90