Finding the Third Proportional to 116,496 and 174,564

Step by Step Solution

1. Step 1: Write the proportion equation
   116,496 : 174,564 = 174,564 : x
2. Step 2: Convert to fraction form
   116,496/174,564 = 174,564/x
3. Step 3: Cross multiply
   116,496x = 174,564 × 174,564
4. Step 4: Simplify right side
   116,496x = 30,472,590,096
5. Step 5: Solve for x
   x = 30,472,590,096/116,496
6. Step 6: Final answer
   x = 261,576.28