Finding the Third Proportional to 89,968 and 134,464

Step by Step Solution

1. Step 1: Write the proportion equation
   89,968 : 134,464 = 134,464 : x
2. Step 2: Convert to fraction form
   89,968/134,464 = 134,464/x
3. Step 3: Cross multiply
   89,968x = 134,464 × 134,464
4. Step 4: Simplify right side
   89,968x = 18,080,567,296
5. Step 5: Solve for x
   x = 18,080,567,296/89,968
6. Step 6: Final answer
   x = 200,966.65