Finding the Third Proportional to 52,065 and 107,820

Step by Step Solution

1. Step 1: Write the proportion equation
   52,065 : 107,820 = 107,820 : x
2. Step 2: Convert to fraction form
   52,065/107,820 = 107,820/x
3. Step 3: Cross multiply
   52,065x = 107,820 × 107,820
4. Step 4: Simplify right side
   52,065x = 11,625,152,400
5. Step 5: Solve for x
   x = 11,625,152,400/52,065
6. Step 6: Final answer
   x = 223,281.52