Finding the Third Proportional to 90,603 and 196,326

Step by Step Solution

1. Step 1: Write the proportion equation
   90,603 : 196,326 = 196,326 : x
2. Step 2: Convert to fraction form
   90,603/196,326 = 196,326/x
3. Step 3: Cross multiply
   90,603x = 196,326 × 196,326
4. Step 4: Simplify right side
   90,603x = 38,543,898,276
5. Step 5: Solve for x
   x = 38,543,898,276/90,603
6. Step 6: Final answer
   x = 425,415.25