Finding the Third Proportional to 85,538 and 174,436

Step by Step Solution

1. Step 1: Write the proportion equation
   85,538 : 174,436 = 174,436 : x
2. Step 2: Convert to fraction form
   85,538/174,436 = 174,436/x
3. Step 3: Cross multiply
   85,538x = 174,436 × 174,436
4. Step 4: Simplify right side
   85,538x = 30,427,918,096
5. Step 5: Solve for x
   x = 30,427,918,096/85,538
6. Step 6: Final answer
   x = 355,723.98