Finding the Third Proportional to 105,412 and 231,560

Step by Step Solution

1. Step 1: Write the proportion equation
   105,412 : 231,560 = 231,560 : x
2. Step 2: Convert to fraction form
   105,412/231,560 = 231,560/x
3. Step 3: Cross multiply
   105,412x = 231,560 × 231,560
4. Step 4: Simplify right side
   105,412x = 53,620,033,600
5. Step 5: Solve for x
   x = 53,620,033,600/105,412
6. Step 6: Final answer
   x = 508,671.06