Finding the Third Proportional to 158,106 and 342,456

Step by Step Solution

1. Step 1: Write the proportion equation
   158,106 : 342,456 = 342,456 : x
2. Step 2: Convert to fraction form
   158,106/342,456 = 342,456/x
3. Step 3: Cross multiply
   158,106x = 342,456 × 342,456
4. Step 4: Simplify right side
   158,106x = 117,276,111,936
5. Step 5: Solve for x
   x = 117,276,111,936/158,106
6. Step 6: Final answer
   x = 741,756.24