Finding the Third Proportional to 111,412.50 and 230,205

Step by Step Solution

1. Step 1: Write the proportion equation
   111,412.50 : 230,205 = 230,205 : x
2. Step 2: Convert to fraction form
   111,412.50/230,205 = 230,205/x
3. Step 3: Cross multiply
   111,412.50x = 230,205 × 230,205
4. Step 4: Simplify right side
   111,412.50x = 52,994,342,025
5. Step 5: Solve for x
   x = 52,994,342,025/111,412.50
6. Step 6: Final answer
   x = 475,658.85