Finding the Third Proportional to 72,822 and 109,746

Step by Step Solution

1. Step 1: Write the proportion equation
   72,822 : 109,746 = 109,746 : x
2. Step 2: Convert to fraction form
   72,822/109,746 = 109,746/x
3. Step 3: Cross multiply
   72,822x = 109,746 × 109,746
4. Step 4: Simplify right side
   72,822x = 12,044,184,516
5. Step 5: Solve for x
   x = 12,044,184,516/72,822
6. Step 6: Final answer
   x = 165,392.11