Finding the Third Proportional to 85,142.50 and 185,021

Step by Step Solution

1. Step 1: Write the proportion equation
   85,142.50 : 185,021 = 185,021 : x
2. Step 2: Convert to fraction form
   85,142.50/185,021 = 185,021/x
3. Step 3: Cross multiply
   85,142.50x = 185,021 × 185,021
4. Step 4: Simplify right side
   85,142.50x = 34,232,770,441
5. Step 5: Solve for x
   x = 34,232,770,441/85,142.50
6. Step 6: Final answer
   x = 402,064.43