Finding the Third Proportional to 90,682.50 and 193,839

Step by Step Solution

1. Step 1: Write the proportion equation
   90,682.50 : 193,839 = 193,839 : x
2. Step 2: Convert to fraction form
   90,682.50/193,839 = 193,839/x
3. Step 3: Cross multiply
   90,682.50x = 193,839 × 193,839
4. Step 4: Simplify right side
   90,682.50x = 37,573,557,921
5. Step 5: Solve for x
   x = 37,573,557,921/90,682.50
6. Step 6: Final answer
   x = 414,341.88