Finding the Third Proportional to 52,253 and 114,322

Step by Step Solution

1. Step 1: Write the proportion equation
   52,253 : 114,322 = 114,322 : x
2. Step 2: Convert to fraction form
   52,253/114,322 = 114,322/x
3. Step 3: Cross multiply
   52,253x = 114,322 × 114,322
4. Step 4: Simplify right side
   52,253x = 13,069,519,684
5. Step 5: Solve for x
   x = 13,069,519,684/52,253
6. Step 6: Final answer
   x = 250,119.99