Finding the Third Proportional to 53,237 and 116,410

Step by Step Solution

1. Step 1: Write the proportion equation
   53,237 : 116,410 = 116,410 : x
2. Step 2: Convert to fraction form
   53,237/116,410 = 116,410/x
3. Step 3: Cross multiply
   53,237x = 116,410 × 116,410
4. Step 4: Simplify right side
   53,237x = 13,551,288,100
5. Step 5: Solve for x
   x = 13,551,288,100/53,237
6. Step 6: Final answer
   x = 254,546.43