Finding the Third Proportional to 105,762 and 230,460

Step by Step Solution

1. Step 1: Write the proportion equation
   105,762 : 230,460 = 230,460 : x
2. Step 2: Convert to fraction form
   105,762/230,460 = 230,460/x
3. Step 3: Cross multiply
   105,762x = 230,460 × 230,460
4. Step 4: Simplify right side
   105,762x = 53,111,811,600
5. Step 5: Solve for x
   x = 53,111,811,600/105,762
6. Step 6: Final answer
   x = 502,182.37