Finding the Third Proportional to 120,784.50 and 256,185

Step by Step Solution

1. Step 1: Write the proportion equation
   120,784.50 : 256,185 = 256,185 : x
2. Step 2: Convert to fraction form
   120,784.50/256,185 = 256,185/x
3. Step 3: Cross multiply
   120,784.50x = 256,185 × 256,185
4. Step 4: Simplify right side
   120,784.50x = 65,630,754,225
5. Step 5: Solve for x
   x = 65,630,754,225/120,784.50
6. Step 6: Final answer
   x = 543,370.67