Finding the Third Proportional to 52,762 and 113,848

Step by Step Solution

1. Step 1: Write the proportion equation
   52,762 : 113,848 = 113,848 : x
2. Step 2: Convert to fraction form
   52,762/113,848 = 113,848/x
3. Step 3: Cross multiply
   52,762x = 113,848 × 113,848
4. Step 4: Simplify right side
   52,762x = 12,961,367,104
5. Step 5: Solve for x
   x = 12,961,367,104/52,762
6. Step 6: Final answer
   x = 245,657.24