Finding the Third Proportional to 53,024 and 114,350

Step by Step Solution

1. Step 1: Write the proportion equation
   53,024 : 114,350 = 114,350 : x
2. Step 2: Convert to fraction form
   53,024/114,350 = 114,350/x
3. Step 3: Cross multiply
   53,024x = 114,350 × 114,350
4. Step 4: Simplify right side
   53,024x = 13,075,922,500
5. Step 5: Solve for x
   x = 13,075,922,500/53,024
6. Step 6: Final answer
   x = 246,603.85