Finding the Third Proportional to 85,884 and 174,195

Step by Step Solution

1. Step 1: Write the proportion equation
   85,884 : 174,195 = 174,195 : x
2. Step 2: Convert to fraction form
   85,884/174,195 = 174,195/x
3. Step 3: Cross multiply
   85,884x = 174,195 × 174,195
4. Step 4: Simplify right side
   85,884x = 30,343,898,025
5. Step 5: Solve for x
   x = 30,343,898,025/85,884
6. Step 6: Final answer
   x = 353,312.58