Finding the Third Proportional to 133,912 and 196,076

Step by Step Solution

1. Step 1: Write the proportion equation
   133,912 : 196,076 = 196,076 : x
2. Step 2: Convert to fraction form
   133,912/196,076 = 196,076/x
3. Step 3: Cross multiply
   133,912x = 196,076 × 196,076
4. Step 4: Simplify right side
   133,912x = 38,445,797,776
5. Step 5: Solve for x
   x = 38,445,797,776/133,912
6. Step 6: Final answer
   x = 287,097.48