Finding the Third Proportional to 91,816.50 and 194,658

Step by Step Solution

1. Step 1: Write the proportion equation
   91,816.50 : 194,658 = 194,658 : x
2. Step 2: Convert to fraction form
   91,816.50/194,658 = 194,658/x
3. Step 3: Cross multiply
   91,816.50x = 194,658 × 194,658
4. Step 4: Simplify right side
   91,816.50x = 37,891,736,964
5. Step 5: Solve for x
   x = 37,891,736,964/91,816.50
6. Step 6: Final answer
   x = 412,689.84