Finding the Third Proportional to 85,820 and 189,092

Step by Step Solution

1. Step 1: Write the proportion equation
   85,820 : 189,092 = 189,092 : x
2. Step 2: Convert to fraction form
   85,820/189,092 = 189,092/x
3. Step 3: Cross multiply
   85,820x = 189,092 × 189,092
4. Step 4: Simplify right side
   85,820x = 35,755,784,464
5. Step 5: Solve for x
   x = 35,755,784,464/85,820
6. Step 6: Final answer
   x = 416,636.97