Finding the Third Proportional to 53,022 and 114,346

Step by Step Solution

1. Step 1: Write the proportion equation
   53,022 : 114,346 = 114,346 : x
2. Step 2: Convert to fraction form
   53,022/114,346 = 114,346/x
3. Step 3: Cross multiply
   53,022x = 114,346 × 114,346
4. Step 4: Simplify right side
   53,022x = 13,075,007,716
5. Step 5: Solve for x
   x = 13,075,007,716/53,022
6. Step 6: Final answer
   x = 246,595.90