Finding the Third Proportional to 186,474 and 407,104.50

Step by Step Solution

1. Step 1: Write the proportion equation
   186,474 : 407,104.50 = 407,104.50 : x
2. Step 2: Convert to fraction form
   186,474/407,104.50 = 407,104.50/x
3. Step 3: Cross multiply
   186,474x = 407,104.50 × 407,104.50
4. Step 4: Simplify right side
   186,474x = 165,734,073,920.25
5. Step 5: Solve for x
   x = 165,734,073,920.25/186,474
6. Step 6: Final answer
   x = 888,778.46