Finding the Third Proportional to 73,509 and 109,974

Step by Step Solution

1. Step 1: Write the proportion equation
   73,509 : 109,974 = 109,974 : x
2. Step 2: Convert to fraction form
   73,509/109,974 = 109,974/x
3. Step 3: Cross multiply
   73,509x = 109,974 × 109,974
4. Step 4: Simplify right side
   73,509x = 12,094,280,676
5. Step 5: Solve for x
   x = 12,094,280,676/73,509
6. Step 6: Final answer
   x = 164,527.89