Finding the Third Proportional to 91,724 and 214,066

Step by Step Solution

1. Step 1: Write the proportion equation
   91,724 : 214,066 = 214,066 : x
2. Step 2: Convert to fraction form
   91,724/214,066 = 214,066/x
3. Step 3: Cross multiply
   91,724x = 214,066 × 214,066
4. Step 4: Simplify right side
   91,724x = 45,824,252,356
5. Step 5: Solve for x
   x = 45,824,252,356/91,724
6. Step 6: Final answer
   x = 499,588.46