Finding the Third Proportional to 116,664 and 174,960

Step by Step Solution

1. Step 1: Write the proportion equation
   116,664 : 174,960 = 174,960 : x
2. Step 2: Convert to fraction form
   116,664/174,960 = 174,960/x
3. Step 3: Cross multiply
   116,664x = 174,960 × 174,960
4. Step 4: Simplify right side
   116,664x = 30,611,001,600
5. Step 5: Solve for x
   x = 30,611,001,600/116,664
6. Step 6: Final answer
   x = 262,386.01