Finding the Third Proportional to 116,632 and 174,916

Step by Step Solution

1. Step 1: Write the proportion equation
   116,632 : 174,916 = 174,916 : x
2. Step 2: Convert to fraction form
   116,632/174,916 = 174,916/x
3. Step 3: Cross multiply
   116,632x = 174,916 × 174,916
4. Step 4: Simplify right side
   116,632x = 30,595,607,056
5. Step 5: Solve for x
   x = 30,595,607,056/116,632
6. Step 6: Final answer
   x = 262,326.01