Finding the Third Proportional to 89,365 and 131,967

Step by Step Solution

1. Step 1: Write the proportion equation
   89,365 : 131,967 = 131,967 : x
2. Step 2: Convert to fraction form
   89,365/131,967 = 131,967/x
3. Step 3: Cross multiply
   89,365x = 131,967 × 131,967
4. Step 4: Simplify right side
   89,365x = 17,415,289,089
5. Step 5: Solve for x
   x = 17,415,289,089/89,365
6. Step 6: Final answer
   x = 194,878.19