Finding the Third Proportional to 52,322 and 114,426

Step by Step Solution

1. Step 1: Write the proportion equation
   52,322 : 114,426 = 114,426 : x
2. Step 2: Convert to fraction form
   52,322/114,426 = 114,426/x
3. Step 3: Cross multiply
   52,322x = 114,426 × 114,426
4. Step 4: Simplify right side
   52,322x = 13,093,309,476
5. Step 5: Solve for x
   x = 13,093,309,476/52,322
6. Step 6: Final answer
   x = 250,244.82