Finding the Third Proportional to 52,284 and 114,368

Step by Step Solution

1. Step 1: Write the proportion equation
   52,284 : 114,368 = 114,368 : x
2. Step 2: Convert to fraction form
   52,284/114,368 = 114,368/x
3. Step 3: Cross multiply
   52,284x = 114,368 × 114,368
4. Step 4: Simplify right side
   52,284x = 13,080,039,424
5. Step 5: Solve for x
   x = 13,080,039,424/52,284
6. Step 6: Final answer
   x = 250,172.89