Finding the Third Proportional to 105,430.50 and 232,458

Step by Step Solution

1. Step 1: Write the proportion equation
   105,430.50 : 232,458 = 232,458 : x
2. Step 2: Convert to fraction form
   105,430.50/232,458 = 232,458/x
3. Step 3: Cross multiply
   105,430.50x = 232,458 × 232,458
4. Step 4: Simplify right side
   105,430.50x = 54,036,721,764
5. Step 5: Solve for x
   x = 54,036,721,764/105,430.50
6. Step 6: Final answer
   x = 512,534.06