Finding the Third Proportional to 91,495.50 and 194,655

Step by Step Solution

1. Step 1: Write the proportion equation
   91,495.50 : 194,655 = 194,655 : x
2. Step 2: Convert to fraction form
   91,495.50/194,655 = 194,655/x
3. Step 3: Cross multiply
   91,495.50x = 194,655 × 194,655
4. Step 4: Simplify right side
   91,495.50x = 37,890,569,025
5. Step 5: Solve for x
   x = 37,890,569,025/91,495.50
6. Step 6: Final answer
   x = 414,124.95