Finding the Third Proportional to 85,578 and 187,290

Step by Step Solution

1. Step 1: Write the proportion equation
   85,578 : 187,290 = 187,290 : x
2. Step 2: Convert to fraction form
   85,578/187,290 = 187,290/x
3. Step 3: Cross multiply
   85,578x = 187,290 × 187,290
4. Step 4: Simplify right side
   85,578x = 35,077,544,100
5. Step 5: Solve for x
   x = 35,077,544,100/85,578
6. Step 6: Final answer
   x = 409,889.74