Finding the Third Proportional to 52,466 and 114,772

Step by Step Solution

1. Step 1: Write the proportion equation
   52,466 : 114,772 = 114,772 : x
2. Step 2: Convert to fraction form
   52,466/114,772 = 114,772/x
3. Step 3: Cross multiply
   52,466x = 114,772 × 114,772
4. Step 4: Simplify right side
   52,466x = 13,172,611,984
5. Step 5: Solve for x
   x = 13,172,611,984/52,466
6. Step 6: Final answer
   x = 251,069.49