Finding the Third Proportional to 85,461 and 187,026

Step by Step Solution

1. Step 1: Write the proportion equation
   85,461 : 187,026 = 187,026 : x
2. Step 2: Convert to fraction form
   85,461/187,026 = 187,026/x
3. Step 3: Cross multiply
   85,461x = 187,026 × 187,026
4. Step 4: Simplify right side
   85,461x = 34,978,724,676
5. Step 5: Solve for x
   x = 34,978,724,676/85,461
6. Step 6: Final answer
   x = 409,294.59