Finding the Third Proportional to 156,768 and 223,968

Step by Step Solution

1. Step 1: Write the proportion equation
   156,768 : 223,968 = 223,968 : x
2. Step 2: Convert to fraction form
   156,768/223,968 = 223,968/x
3. Step 3: Cross multiply
   156,768x = 223,968 × 223,968
4. Step 4: Simplify right side
   156,768x = 50,161,665,024
5. Step 5: Solve for x
   x = 50,161,665,024/156,768
6. Step 6: Final answer
   x = 319,973.88