Finding the Third Proportional to 162,592 and 342,896

Step by Step Solution

1. Step 1: Write the proportion equation
   162,592 : 342,896 = 342,896 : x
2. Step 2: Convert to fraction form
   162,592/342,896 = 342,896/x
3. Step 3: Cross multiply
   162,592x = 342,896 × 342,896
4. Step 4: Simplify right side
   162,592x = 117,577,666,816
5. Step 5: Solve for x
   x = 117,577,666,816/162,592
6. Step 6: Final answer
   x = 723,145.46