Finding the Third Proportional to 52,100 and 114,208

Step by Step Solution

1. Step 1: Write the proportion equation
   52,100 : 114,208 = 114,208 : x
2. Step 2: Convert to fraction form
   52,100/114,208 = 114,208/x
3. Step 3: Cross multiply
   52,100x = 114,208 × 114,208
4. Step 4: Simplify right side
   52,100x = 13,043,467,264
5. Step 5: Solve for x
   x = 13,043,467,264/52,100
6. Step 6: Final answer
   x = 250,354.46