Finding the Third Proportional to 53,506 and 113,924

Step by Step Solution

1. Step 1: Write the proportion equation
   53,506 : 113,924 = 113,924 : x
2. Step 2: Convert to fraction form
   53,506/113,924 = 113,924/x
3. Step 3: Cross multiply
   53,506x = 113,924 × 113,924
4. Step 4: Simplify right side
   53,506x = 12,978,677,776
5. Step 5: Solve for x
   x = 12,978,677,776/53,506
6. Step 6: Final answer
   x = 242,564.90