Finding the Third Proportional to 133,636 and 196,470

Step by Step Solution

1. Step 1: Write the proportion equation
   133,636 : 196,470 = 196,470 : x
2. Step 2: Convert to fraction form
   133,636/196,470 = 196,470/x
3. Step 3: Cross multiply
   133,636x = 196,470 × 196,470
4. Step 4: Simplify right side
   133,636x = 38,600,460,900
5. Step 5: Solve for x
   x = 38,600,460,900/133,636
6. Step 6: Final answer
   x = 288,847.77