Finding the Third Proportional to 214,080 and 506,281.50

Step by Step Solution

1. Step 1: Write the proportion equation
   214,080 : 506,281.50 = 506,281.50 : x
2. Step 2: Convert to fraction form
   214,080/506,281.50 = 506,281.50/x
3. Step 3: Cross multiply
   214,080x = 506,281.50 × 506,281.50
4. Step 4: Simplify right side
   214,080x = 256,320,957,242.25
5. Step 5: Solve for x
   x = 256,320,957,242.25/214,080
6. Step 6: Final answer
   x = 1,197,313.89