Finding the Third Proportional to 231,948 and 355,410

Step by Step Solution

1. Step 1: Write the proportion equation
   231,948 : 355,410 = 355,410 : x
2. Step 2: Convert to fraction form
   231,948/355,410 = 355,410/x
3. Step 3: Cross multiply
   231,948x = 355,410 × 355,410
4. Step 4: Simplify right side
   231,948x = 126,316,268,100
5. Step 5: Solve for x
   x = 126,316,268,100/231,948
6. Step 6: Final answer
   x = 544,588.74