Finding the Third Proportional to 353,123 and 784,706

Step by Step Solution

1. Step 1: Write the proportion equation
   353,123 : 784,706 = 784,706 : x
2. Step 2: Convert to fraction form
   353,123/784,706 = 784,706/x
3. Step 3: Cross multiply
   353,123x = 784,706 × 784,706
4. Step 4: Simplify right side
   353,123x = 615,763,506,436
5. Step 5: Solve for x
   x = 615,763,506,436/353,123
6. Step 6: Final answer
   x = 1,743,764.94