Finding the Third Proportional to 105,705 and 230,364

Step by Step Solution

1. Step 1: Write the proportion equation
   105,705 : 230,364 = 230,364 : x
2. Step 2: Convert to fraction form
   105,705/230,364 = 230,364/x
3. Step 3: Cross multiply
   105,705x = 230,364 × 230,364
4. Step 4: Simplify right side
   105,705x = 53,067,572,496
5. Step 5: Solve for x
   x = 53,067,572,496/105,705
6. Step 6: Final answer
   x = 502,034.65