Finding the Third Proportional to 90,644 and 196,354

Step by Step Solution

1. Step 1: Write the proportion equation
   90,644 : 196,354 = 196,354 : x
2. Step 2: Convert to fraction form
   90,644/196,354 = 196,354/x
3. Step 3: Cross multiply
   90,644x = 196,354 × 196,354
4. Step 4: Simplify right side
   90,644x = 38,554,893,316
5. Step 5: Solve for x
   x = 38,554,893,316/90,644
6. Step 6: Final answer
   x = 425,344.13