Finding the Third Proportional to 85,876 and 187,010

Step by Step Solution

1. Step 1: Write the proportion equation
   85,876 : 187,010 = 187,010 : x
2. Step 2: Convert to fraction form
   85,876/187,010 = 187,010/x
3. Step 3: Cross multiply
   85,876x = 187,010 × 187,010
4. Step 4: Simplify right side
   85,876x = 34,972,740,100
5. Step 5: Solve for x
   x = 34,972,740,100/85,876
6. Step 6: Final answer
   x = 407,246.96