Finding the Third Proportional to 89,697 and 190,326

Step by Step Solution

1. Step 1: Write the proportion equation
   89,697 : 190,326 = 190,326 : x
2. Step 2: Convert to fraction form
   89,697/190,326 = 190,326/x
3. Step 3: Cross multiply
   89,697x = 190,326 × 190,326
4. Step 4: Simplify right side
   89,697x = 36,223,986,276
5. Step 5: Solve for x
   x = 36,223,986,276/89,697
6. Step 6: Final answer
   x = 403,848.36