Finding the Third Proportional to 190,764 and 414,697.50

Step by Step Solution

1. Step 1: Write the proportion equation
   190,764 : 414,697.50 = 414,697.50 : x
2. Step 2: Convert to fraction form
   190,764/414,697.50 = 414,697.50/x
3. Step 3: Cross multiply
   190,764x = 414,697.50 × 414,697.50
4. Step 4: Simplify right side
   190,764x = 171,974,016,506.25
5. Step 5: Solve for x
   x = 171,974,016,506.25/190,764
6. Step 6: Final answer
   x = 901,501.42