Finding the Third Proportional to 89,978.50 and 193,049

Step by Step Solution

1. Step 1: Write the proportion equation
   89,978.50 : 193,049 = 193,049 : x
2. Step 2: Convert to fraction form
   89,978.50/193,049 = 193,049/x
3. Step 3: Cross multiply
   89,978.50x = 193,049 × 193,049
4. Step 4: Simplify right side
   89,978.50x = 37,267,916,401
5. Step 5: Solve for x
   x = 37,267,916,401/89,978.50
6. Step 6: Final answer
   x = 414,186.90