Finding the Third Proportional to 231,322 and 345,061

Step by Step Solution

1. Step 1: Write the proportion equation
   231,322 : 345,061 = 345,061 : x
2. Step 2: Convert to fraction form
   231,322/345,061 = 345,061/x
3. Step 3: Cross multiply
   231,322x = 345,061 × 345,061
4. Step 4: Simplify right side
   231,322x = 119,067,093,721
5. Step 5: Solve for x
   x = 119,067,093,721/231,322
6. Step 6: Final answer
   x = 514,724.47