Finding the Third Proportional to 85,021.31 and 185,584.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,021.31 : 185,584.50 = 185,584.50 : x
2. Step 2: Convert to fraction form
   85,021.31/185,584.50 = 185,584.50/x
3. Step 3: Cross multiply
   85,021.31x = 185,584.50 × 185,584.50
4. Step 4: Simplify right side
   85,021.31x = 34,441,606,640.25
5. Step 5: Solve for x
   x = 34,441,606,640.25/85,021.31
6. Step 6: Final answer
   x = 405,093.80