Finding the Third Proportional to 85,913 and 174,253

Step by Step Solution

1. Step 1: Write the proportion equation
   85,913 : 174,253 = 174,253 : x
2. Step 2: Convert to fraction form
   85,913/174,253 = 174,253/x
3. Step 3: Cross multiply
   85,913x = 174,253 × 174,253
4. Step 4: Simplify right side
   85,913x = 30,364,108,009
5. Step 5: Solve for x
   x = 30,364,108,009/85,913
6. Step 6: Final answer
   x = 353,428.56