Finding the Third Proportional to 53,126 and 114,450

Step by Step Solution

1. Step 1: Write the proportion equation
   53,126 : 114,450 = 114,450 : x
2. Step 2: Convert to fraction form
   53,126/114,450 = 114,450/x
3. Step 3: Cross multiply
   53,126x = 114,450 × 114,450
4. Step 4: Simplify right side
   53,126x = 13,098,802,500
5. Step 5: Solve for x
   x = 13,098,802,500/53,126
6. Step 6: Final answer
   x = 246,561.05