Finding the Third Proportional to 53,507 and 113,886

Step by Step Solution

1. Step 1: Write the proportion equation
   53,507 : 113,886 = 113,886 : x
2. Step 2: Convert to fraction form
   53,507/113,886 = 113,886/x
3. Step 3: Cross multiply
   53,507x = 113,886 × 113,886
4. Step 4: Simplify right side
   53,507x = 12,970,020,996
5. Step 5: Solve for x
   x = 12,970,020,996/53,507
6. Step 6: Final answer
   x = 242,398.58