Finding the Third Proportional to 116,688 and 174,996

Step by Step Solution

1. Step 1: Write the proportion equation
   116,688 : 174,996 = 174,996 : x
2. Step 2: Convert to fraction form
   116,688/174,996 = 174,996/x
3. Step 3: Cross multiply
   116,688x = 174,996 × 174,996
4. Step 4: Simplify right side
   116,688x = 30,623,600,016
5. Step 5: Solve for x
   x = 30,623,600,016/116,688
6. Step 6: Final answer
   x = 262,440.01