Finding the Third Proportional to 344,196 and 741,123

Step by Step Solution

1. Step 1: Write the proportion equation
   344,196 : 741,123 = 741,123 : x
2. Step 2: Convert to fraction form
   344,196/741,123 = 741,123/x
3. Step 3: Cross multiply
   344,196x = 741,123 × 741,123
4. Step 4: Simplify right side
   344,196x = 549,263,301,129
5. Step 5: Solve for x
   x = 549,263,301,129/344,196
6. Step 6: Final answer
   x = 1,595,786.42