Finding the Third Proportional to 85,026 and 185,361

Step by Step Solution

1. Step 1: Write the proportion equation
   85,026 : 185,361 = 185,361 : x
2. Step 2: Convert to fraction form
   85,026/185,361 = 185,361/x
3. Step 3: Cross multiply
   85,026x = 185,361 × 185,361
4. Step 4: Simplify right side
   85,026x = 34,358,700,321
5. Step 5: Solve for x
   x = 34,358,700,321/85,026
6. Step 6: Final answer
   x = 404,096.40