Finding the Third Proportional to 53,522 and 114,454

Step by Step Solution

1. Step 1: Write the proportion equation
   53,522 : 114,454 = 114,454 : x
2. Step 2: Convert to fraction form
   53,522/114,454 = 114,454/x
3. Step 3: Cross multiply
   53,522x = 114,454 × 114,454
4. Step 4: Simplify right side
   53,522x = 13,099,718,116
5. Step 5: Solve for x
   x = 13,099,718,116/53,522
6. Step 6: Final answer
   x = 244,753.90