Finding the Third Proportional to 85,443 and 187,339

Step by Step Solution

1. Step 1: Write the proportion equation
   85,443 : 187,339 = 187,339 : x
2. Step 2: Convert to fraction form
   85,443/187,339 = 187,339/x
3. Step 3: Cross multiply
   85,443x = 187,339 × 187,339
4. Step 4: Simplify right side
   85,443x = 35,095,900,921
5. Step 5: Solve for x
   x = 35,095,900,921/85,443
6. Step 6: Final answer
   x = 410,752.21