Finding the Third Proportional to 231,948.56 and 359,146.41

Step by Step Solution

1. Step 1: Write the proportion equation
   231,948.56 : 359,146.41 = 359,146.41 : x
2. Step 2: Convert to fraction form
   231,948.56/359,146.41 = 359,146.41/x
3. Step 3: Cross multiply
   231,948.56x = 359,146.41 × 359,146.41
4. Step 4: Simplify right side
   231,948.56x = 128,986,141,122.29
5. Step 5: Solve for x
   x = 128,986,141,122.29/231,948.56
6. Step 6: Final answer
   x = 556,098.04