Finding the Third Proportional to 95,782.50 and 205,314.75

Step by Step Solution

1. Step 1: Write the proportion equation
   95,782.50 : 205,314.75 = 205,314.75 : x
2. Step 2: Convert to fraction form
   95,782.50/205,314.75 = 205,314.75/x
3. Step 3: Cross multiply
   95,782.50x = 205,314.75 × 205,314.75
4. Step 4: Simplify right side
   95,782.50x = 42,154,146,567.56
5. Step 5: Solve for x
   x = 42,154,146,567.56/95,782.50
6. Step 6: Final answer
   x = 440,102.80