Finding the Third Proportional to 89,076 and 181,782

Step by Step Solution

1. Step 1: Write the proportion equation
   89,076 : 181,782 = 181,782 : x
2. Step 2: Convert to fraction form
   89,076/181,782 = 181,782/x
3. Step 3: Cross multiply
   89,076x = 181,782 × 181,782
4. Step 4: Simplify right side
   89,076x = 33,044,695,524
5. Step 5: Solve for x
   x = 33,044,695,524/89,076
6. Step 6: Final answer
   x = 370,971.93