Finding the Third Proportional to 523,233 and 784,849.50

Step by Step Solution

1. Step 1: Write the proportion equation
   523,233 : 784,849.50 = 784,849.50 : x
2. Step 2: Convert to fraction form
   523,233/784,849.50 = 784,849.50/x
3. Step 3: Cross multiply
   523,233x = 784,849.50 × 784,849.50
4. Step 4: Simplify right side
   523,233x = 615,988,737,650.25
5. Step 5: Solve for x
   x = 615,988,737,650.25/523,233
6. Step 6: Final answer
   x = 1,177,274.25