Finding the Third Proportional to 214,092 and 506,311.50

Step by Step Solution

1. Step 1: Write the proportion equation
   214,092 : 506,311.50 = 506,311.50 : x
2. Step 2: Convert to fraction form
   214,092/506,311.50 = 506,311.50/x
3. Step 3: Cross multiply
   214,092x = 506,311.50 × 506,311.50
4. Step 4: Simplify right side
   214,092x = 256,351,335,032.25
5. Step 5: Solve for x
   x = 256,351,335,032.25/214,092
6. Step 6: Final answer
   x = 1,197,388.67