Finding the Third Proportional to 252,742.50 and 553,005

Step by Step Solution

1. Step 1: Write the proportion equation
   252,742.50 : 553,005 = 553,005 : x
2. Step 2: Convert to fraction form
   252,742.50/553,005 = 553,005/x
3. Step 3: Cross multiply
   252,742.50x = 553,005 × 553,005
4. Step 4: Simplify right side
   252,742.50x = 305,814,530,025
5. Step 5: Solve for x
   x = 305,814,530,025/252,742.50
6. Step 6: Final answer
   x = 1,209,984.59