Finding the Third Proportional to 80,605.50 and 189,594

Step by Step Solution

1. Step 1: Write the proportion equation
   80,605.50 : 189,594 = 189,594 : x
2. Step 2: Convert to fraction form
   80,605.50/189,594 = 189,594/x
3. Step 3: Cross multiply
   80,605.50x = 189,594 × 189,594
4. Step 4: Simplify right side
   80,605.50x = 35,945,884,836
5. Step 5: Solve for x
   x = 35,945,884,836/80,605.50
6. Step 6: Final answer
   x = 445,948.29