Finding the Third Proportional to 133,846 and 196,300

Step by Step Solution

1. Step 1: Write the proportion equation
   133,846 : 196,300 = 196,300 : x
2. Step 2: Convert to fraction form
   133,846/196,300 = 196,300/x
3. Step 3: Cross multiply
   133,846x = 196,300 × 196,300
4. Step 4: Simplify right side
   133,846x = 38,533,690,000
5. Step 5: Solve for x
   x = 38,533,690,000/133,846
6. Step 6: Final answer
   x = 287,895.72