Finding the Third Proportional to 85,411.50 and 186,840

Step by Step Solution

1. Step 1: Write the proportion equation
   85,411.50 : 186,840 = 186,840 : x
2. Step 2: Convert to fraction form
   85,411.50/186,840 = 186,840/x
3. Step 3: Cross multiply
   85,411.50x = 186,840 × 186,840
4. Step 4: Simplify right side
   85,411.50x = 34,909,185,600
5. Step 5: Solve for x
   x = 34,909,185,600/85,411.50
6. Step 6: Final answer
   x = 408,717.63