Finding the Third Proportional to 165,784 and 254,968

Step by Step Solution

1. Step 1: Write the proportion equation
   165,784 : 254,968 = 254,968 : x
2. Step 2: Convert to fraction form
   165,784/254,968 = 254,968/x
3. Step 3: Cross multiply
   165,784x = 254,968 × 254,968
4. Step 4: Simplify right side
   165,784x = 65,008,681,024
5. Step 5: Solve for x
   x = 65,008,681,024/165,784
6. Step 6: Final answer
   x = 392,128.80