Finding the Third Proportional to 85,907 and 174,230

Step by Step Solution

1. Step 1: Write the proportion equation
   85,907 : 174,230 = 174,230 : x
2. Step 2: Convert to fraction form
   85,907/174,230 = 174,230/x
3. Step 3: Cross multiply
   85,907x = 174,230 × 174,230
4. Step 4: Simplify right side
   85,907x = 30,356,092,900
5. Step 5: Solve for x
   x = 30,356,092,900/85,907
6. Step 6: Final answer
   x = 353,359.95