Finding the Third Proportional to 52,322 and 113,498

Step by Step Solution

1. Step 1: Write the proportion equation
   52,322 : 113,498 = 113,498 : x
2. Step 2: Convert to fraction form
   52,322/113,498 = 113,498/x
3. Step 3: Cross multiply
   52,322x = 113,498 × 113,498
4. Step 4: Simplify right side
   52,322x = 12,881,796,004
5. Step 5: Solve for x
   x = 12,881,796,004/52,322
6. Step 6: Final answer
   x = 246,202.29