Finding the Third Proportional to 95,784.50 and 205,321.50

Step by Step Solution

1. Step 1: Write the proportion equation
   95,784.50 : 205,321.50 = 205,321.50 : x
2. Step 2: Convert to fraction form
   95,784.50/205,321.50 = 205,321.50/x
3. Step 3: Cross multiply
   95,784.50x = 205,321.50 × 205,321.50
4. Step 4: Simplify right side
   95,784.50x = 42,156,918,362.25
5. Step 5: Solve for x
   x = 42,156,918,362.25/95,784.50
6. Step 6: Final answer
   x = 440,122.55