Finding the Third Proportional to 72,820 and 105,234

Step by Step Solution

1. Step 1: Write the proportion equation
   72,820 : 105,234 = 105,234 : x
2. Step 2: Convert to fraction form
   72,820/105,234 = 105,234/x
3. Step 3: Cross multiply
   72,820x = 105,234 × 105,234
4. Step 4: Simplify right side
   72,820x = 11,074,194,756
5. Step 5: Solve for x
   x = 11,074,194,756/72,820
6. Step 6: Final answer
   x = 152,076.28