Finding the Third Proportional to 95,784.50 and 205,322

Step by Step Solution

1. Step 1: Write the proportion equation
   95,784.50 : 205,322 = 205,322 : x
2. Step 2: Convert to fraction form
   95,784.50/205,322 = 205,322/x
3. Step 3: Cross multiply
   95,784.50x = 205,322 × 205,322
4. Step 4: Simplify right side
   95,784.50x = 42,157,123,684
5. Step 5: Solve for x
   x = 42,157,123,684/95,784.50
6. Step 6: Final answer
   x = 440,124.69