Finding the Third Proportional to 94,687.50 and 206,322

Step by Step Solution

1. Step 1: Write the proportion equation
   94,687.50 : 206,322 = 206,322 : x
2. Step 2: Convert to fraction form
   94,687.50/206,322 = 206,322/x
3. Step 3: Cross multiply
   94,687.50x = 206,322 × 206,322
4. Step 4: Simplify right side
   94,687.50x = 42,568,767,684
5. Step 5: Solve for x
   x = 42,568,767,684/94,687.50
6. Step 6: Final answer
   x = 449,571.14