Finding the Third Proportional to 85,870 and 187,012

Step by Step Solution

1. Step 1: Write the proportion equation
   85,870 : 187,012 = 187,012 : x
2. Step 2: Convert to fraction form
   85,870/187,012 = 187,012/x
3. Step 3: Cross multiply
   85,870x = 187,012 × 187,012
4. Step 4: Simplify right side
   85,870x = 34,973,488,144
5. Step 5: Solve for x
   x = 34,973,488,144/85,870
6. Step 6: Final answer
   x = 407,284.13