Finding the Third Proportional to 111,936 and 174,672

Step by Step Solution

1. Step 1: Write the proportion equation
   111,936 : 174,672 = 174,672 : x
2. Step 2: Convert to fraction form
   111,936/174,672 = 174,672/x
3. Step 3: Cross multiply
   111,936x = 174,672 × 174,672
4. Step 4: Simplify right side
   111,936x = 30,510,307,584
5. Step 5: Solve for x
   x = 30,510,307,584/111,936
6. Step 6: Final answer
   x = 272,569.21