Finding the Third Proportional to 137,658.50 and 193,856

Step by Step Solution

1. Step 1: Write the proportion equation
   137,658.50 : 193,856 = 193,856 : x
2. Step 2: Convert to fraction form
   137,658.50/193,856 = 193,856/x
3. Step 3: Cross multiply
   137,658.50x = 193,856 × 193,856
4. Step 4: Simplify right side
   137,658.50x = 37,580,148,736
5. Step 5: Solve for x
   x = 37,580,148,736/137,658.50
6. Step 6: Final answer
   x = 272,995.48