Finding the Third Proportional to 190,782 and 414,367.50

Step by Step Solution

1. Step 1: Write the proportion equation
   190,782 : 414,367.50 = 414,367.50 : x
2. Step 2: Convert to fraction form
   190,782/414,367.50 = 414,367.50/x
3. Step 3: Cross multiply
   190,782x = 414,367.50 × 414,367.50
4. Step 4: Simplify right side
   190,782x = 171,700,425,056.25
5. Step 5: Solve for x
   x = 171,700,425,056.25/190,782
6. Step 6: Final answer
   x = 899,982.31