Finding the Third Proportional to 85,669.50 and 185,640.25

Step by Step Solution

1. Step 1: Write the proportion equation
   85,669.50 : 185,640.25 = 185,640.25 : x
2. Step 2: Convert to fraction form
   85,669.50/185,640.25 = 185,640.25/x
3. Step 3: Cross multiply
   85,669.50x = 185,640.25 × 185,640.25
4. Step 4: Simplify right side
   85,669.50x = 34,462,302,420.06
5. Step 5: Solve for x
   x = 34,462,302,420.06/85,669.50
6. Step 6: Final answer
   x = 402,270.38