Finding the Third Proportional to 94,234.50 and 205,409.25

Step by Step Solution

1. Step 1: Write the proportion equation
   94,234.50 : 205,409.25 = 205,409.25 : x
2. Step 2: Convert to fraction form
   94,234.50/205,409.25 = 205,409.25/x
3. Step 3: Cross multiply
   94,234.50x = 205,409.25 × 205,409.25
4. Step 4: Simplify right side
   94,234.50x = 42,192,959,985.56
5. Step 5: Solve for x
   x = 42,192,959,985.56/94,234.50
6. Step 6: Final answer
   x = 447,744.30