Finding the Third Proportional to 53,106 and 113,124

Step by Step Solution

1. Step 1: Write the proportion equation
   53,106 : 113,124 = 113,124 : x
2. Step 2: Convert to fraction form
   53,106/113,124 = 113,124/x
3. Step 3: Cross multiply
   53,106x = 113,124 × 113,124
4. Step 4: Simplify right side
   53,106x = 12,797,039,376
5. Step 5: Solve for x
   x = 12,797,039,376/53,106
6. Step 6: Final answer
   x = 240,971.63