Finding the Third Proportional to 84,536 and 181,066

Step by Step Solution

1. Step 1: Write the proportion equation
   84,536 : 181,066 = 181,066 : x
2. Step 2: Convert to fraction form
   84,536/181,066 = 181,066/x
3. Step 3: Cross multiply
   84,536x = 181,066 × 181,066
4. Step 4: Simplify right side
   84,536x = 32,784,896,356
5. Step 5: Solve for x
   x = 32,784,896,356/84,536
6. Step 6: Final answer
   x = 387,821.71