Finding the Third Proportional to 39,109 and 83,066

Step by Step Solution

1. Step 1: Write the proportion equation
   39,109 : 83,066 = 83,066 : x
2. Step 2: Convert to fraction form
   39,109/83,066 = 83,066/x
3. Step 3: Cross multiply
   39,109x = 83,066 × 83,066
4. Step 4: Simplify right side
   39,109x = 6,899,960,356
5. Step 5: Solve for x
   x = 6,899,960,356/39,109
6. Step 6: Final answer
   x = 176,428.96