Finding the Third Proportional to 91,809.50 and 194,645

Step by Step Solution

1. Step 1: Write the proportion equation
   91,809.50 : 194,645 = 194,645 : x
2. Step 2: Convert to fraction form
   91,809.50/194,645 = 194,645/x
3. Step 3: Cross multiply
   91,809.50x = 194,645 × 194,645
4. Step 4: Simplify right side
   91,809.50x = 37,886,676,025
5. Step 5: Solve for x
   x = 37,886,676,025/91,809.50
6. Step 6: Final answer
   x = 412,666.18