Finding the Third Proportional to 85,870 and 186,526

Step by Step Solution

1. Step 1: Write the proportion equation
   85,870 : 186,526 = 186,526 : x
2. Step 2: Convert to fraction form
   85,870/186,526 = 186,526/x
3. Step 3: Cross multiply
   85,870x = 186,526 × 186,526
4. Step 4: Simplify right side
   85,870x = 34,791,948,676
5. Step 5: Solve for x
   x = 34,791,948,676/85,870
6. Step 6: Final answer
   x = 405,170.01