Finding the Third Proportional to 91,733.50 and 193,414

Step by Step Solution

1. Step 1: Write the proportion equation
   91,733.50 : 193,414 = 193,414 : x
2. Step 2: Convert to fraction form
   91,733.50/193,414 = 193,414/x
3. Step 3: Cross multiply
   91,733.50x = 193,414 × 193,414
4. Step 4: Simplify right side
   91,733.50x = 37,408,975,396
5. Step 5: Solve for x
   x = 37,408,975,396/91,733.50
6. Step 6: Final answer
   x = 407,800.59