Finding the Third Proportional to 105,729.47 and 232,488.56

Step by Step Solution

1. Step 1: Write the proportion equation
   105,729.47 : 232,488.56 = 232,488.56 : x
2. Step 2: Convert to fraction form
   105,729.47/232,488.56 = 232,488.56/x
3. Step 3: Cross multiply
   105,729.47x = 232,488.56 × 232,488.56
4. Step 4: Simplify right side
   105,729.47x = 54,050,931,693.32
5. Step 5: Solve for x
   x = 54,050,931,693.32/105,729.47
6. Step 6: Final answer
   x = 511,219.17