Finding the Third Proportional to 186,421.50 and 283,662

Step by Step Solution

1. Step 1: Write the proportion equation
   186,421.50 : 283,662 = 283,662 : x
2. Step 2: Convert to fraction form
   186,421.50/283,662 = 283,662/x
3. Step 3: Cross multiply
   186,421.50x = 283,662 × 283,662
4. Step 4: Simplify right side
   186,421.50x = 80,464,130,244
5. Step 5: Solve for x
   x = 80,464,130,244/186,421.50
6. Step 6: Final answer
   x = 431,624.73