Finding the Third Proportional to 219,092 and 338,298

Step by Step Solution

1. Step 1: Write the proportion equation
   219,092 : 338,298 = 338,298 : x
2. Step 2: Convert to fraction form
   219,092/338,298 = 338,298/x
3. Step 3: Cross multiply
   219,092x = 338,298 × 338,298
4. Step 4: Simplify right side
   219,092x = 114,445,536,804
5. Step 5: Solve for x
   x = 114,445,536,804/219,092
6. Step 6: Final answer
   x = 522,362.92