Finding the Third Proportional to 76,356 and 109,974

Step by Step Solution

1. Step 1: Write the proportion equation
   76,356 : 109,974 = 109,974 : x
2. Step 2: Convert to fraction form
   76,356/109,974 = 109,974/x
3. Step 3: Cross multiply
   76,356x = 109,974 × 109,974
4. Step 4: Simplify right side
   76,356x = 12,094,280,676
5. Step 5: Solve for x
   x = 12,094,280,676/76,356
6. Step 6: Final answer
   x = 158,393.32