Finding the Third Proportional to 196,508 and 421,031.50

Step by Step Solution

1. Step 1: Write the proportion equation
   196,508 : 421,031.50 = 421,031.50 : x
2. Step 2: Convert to fraction form
   196,508/421,031.50 = 421,031.50/x
3. Step 3: Cross multiply
   196,508x = 421,031.50 × 421,031.50
4. Step 4: Simplify right side
   196,508x = 177,267,523,992.25
5. Step 5: Solve for x
   x = 177,267,523,992.25/196,508
6. Step 6: Final answer
   x = 902,088.08