Finding the Third Proportional to 75,664 and 111,404

Step by Step Solution

1. Step 1: Write the proportion equation
   75,664 : 111,404 = 111,404 : x
2. Step 2: Convert to fraction form
   75,664/111,404 = 111,404/x
3. Step 3: Cross multiply
   75,664x = 111,404 × 111,404
4. Step 4: Simplify right side
   75,664x = 12,410,851,216
5. Step 5: Solve for x
   x = 12,410,851,216/75,664
6. Step 6: Final answer
   x = 164,025.84