Finding the Third Proportional to 86,056.50 and 186,414

Step by Step Solution

1. Step 1: Write the proportion equation
   86,056.50 : 186,414 = 186,414 : x
2. Step 2: Convert to fraction form
   86,056.50/186,414 = 186,414/x
3. Step 3: Cross multiply
   86,056.50x = 186,414 × 186,414
4. Step 4: Simplify right side
   86,056.50x = 34,750,179,396
5. Step 5: Solve for x
   x = 34,750,179,396/86,056.50
6. Step 6: Final answer
   x = 403,806.56