Finding the Third Proportional to 89,827 and 139,066

Step by Step Solution

1. Step 1: Write the proportion equation
   89,827 : 139,066 = 139,066 : x
2. Step 2: Convert to fraction form
   89,827/139,066 = 139,066/x
3. Step 3: Cross multiply
   89,827x = 139,066 × 139,066
4. Step 4: Simplify right side
   89,827x = 19,339,352,356
5. Step 5: Solve for x
   x = 19,339,352,356/89,827
6. Step 6: Final answer
   x = 215,295.54