Finding the Third Proportional to 53,031 and 113,355

Step by Step Solution

1. Step 1: Write the proportion equation
   53,031 : 113,355 = 113,355 : x
2. Step 2: Convert to fraction form
   53,031/113,355 = 113,355/x
3. Step 3: Cross multiply
   53,031x = 113,355 × 113,355
4. Step 4: Simplify right side
   53,031x = 12,849,356,025
5. Step 5: Solve for x
   x = 12,849,356,025/53,031
6. Step 6: Final answer
   x = 242,298.96