Finding the Third Proportional to 355,814 and 784,527.50

Step by Step Solution

1. Step 1: Write the proportion equation
   355,814 : 784,527.50 = 784,527.50 : x
2. Step 2: Convert to fraction form
   355,814/784,527.50 = 784,527.50/x
3. Step 3: Cross multiply
   355,814x = 784,527.50 × 784,527.50
4. Step 4: Simplify right side
   355,814x = 615,483,398,256.25
5. Step 5: Solve for x
   x = 615,483,398,256.25/355,814
6. Step 6: Final answer
   x = 1,729,789.72