Finding the Third Proportional to 89,092 and 211,066

Step by Step Solution

1. Step 1: Write the proportion equation
   89,092 : 211,066 = 211,066 : x
2. Step 2: Convert to fraction form
   89,092/211,066 = 211,066/x
3. Step 3: Cross multiply
   89,092x = 211,066 × 211,066
4. Step 4: Simplify right side
   89,092x = 44,548,856,356
5. Step 5: Solve for x
   x = 44,548,856,356/89,092
6. Step 6: Final answer
   x = 500,032.06