Finding the Third Proportional to 137,364 and 196,062

Step by Step Solution

1. Step 1: Write the proportion equation
   137,364 : 196,062 = 196,062 : x
2. Step 2: Convert to fraction form
   137,364/196,062 = 196,062/x
3. Step 3: Cross multiply
   137,364x = 196,062 × 196,062
4. Step 4: Simplify right side
   137,364x = 38,440,307,844
5. Step 5: Solve for x
   x = 38,440,307,844/137,364
6. Step 6: Final answer
   x = 279,842.67