Finding the Third Proportional to 116,664 and 174,962

Step by Step Solution

1. Step 1: Write the proportion equation
   116,664 : 174,962 = 174,962 : x
2. Step 2: Convert to fraction form
   116,664/174,962 = 174,962/x
3. Step 3: Cross multiply
   116,664x = 174,962 × 174,962
4. Step 4: Simplify right side
   116,664x = 30,611,701,444
5. Step 5: Solve for x
   x = 30,611,701,444/116,664
6. Step 6: Final answer
   x = 262,392.01