Finding the Third Proportional to 118,968 and 264,180

Step by Step Solution

1. Step 1: Write the proportion equation
   118,968 : 264,180 = 264,180 : x
2. Step 2: Convert to fraction form
   118,968/264,180 = 264,180/x
3. Step 3: Cross multiply
   118,968x = 264,180 × 264,180
4. Step 4: Simplify right side
   118,968x = 69,791,072,400
5. Step 5: Solve for x
   x = 69,791,072,400/118,968
6. Step 6: Final answer
   x = 586,637.35