Finding the Third Proportional to 137,682 and 193,889.25

Step by Step Solution

1. Step 1: Write the proportion equation
   137,682 : 193,889.25 = 193,889.25 : x
2. Step 2: Convert to fraction form
   137,682/193,889.25 = 193,889.25/x
3. Step 3: Cross multiply
   137,682x = 193,889.25 × 193,889.25
4. Step 4: Simplify right side
   137,682x = 37,593,041,265.56
5. Step 5: Solve for x
   x = 37,593,041,265.56/137,682
6. Step 6: Final answer
   x = 273,042.53