Finding the Third Proportional to 105,457.50 and 230,205

Step by Step Solution

1. Step 1: Write the proportion equation
   105,457.50 : 230,205 = 230,205 : x
2. Step 2: Convert to fraction form
   105,457.50/230,205 = 230,205/x
3. Step 3: Cross multiply
   105,457.50x = 230,205 × 230,205
4. Step 4: Simplify right side
   105,457.50x = 52,994,342,025
5. Step 5: Solve for x
   x = 52,994,342,025/105,457.50
6. Step 6: Final answer
   x = 502,518.47