Finding the Third Proportional to 407,784 and 959,527.50

Step by Step Solution

1. Step 1: Write the proportion equation
   407,784 : 959,527.50 = 959,527.50 : x
2. Step 2: Convert to fraction form
   407,784/959,527.50 = 959,527.50/x
3. Step 3: Cross multiply
   407,784x = 959,527.50 × 959,527.50
4. Step 4: Simplify right side
   407,784x = 920,693,023,256.25
5. Step 5: Solve for x
   x = 920,693,023,256.25/407,784
6. Step 6: Final answer
   x = 2,257,795.85