Finding the Third Proportional to 51,665 and 114,432

Step by Step Solution

1. Step 1: Write the proportion equation
   51,665 : 114,432 = 114,432 : x
2. Step 2: Convert to fraction form
   51,665/114,432 = 114,432/x
3. Step 3: Cross multiply
   51,665x = 114,432 × 114,432
4. Step 4: Simplify right side
   51,665x = 13,094,682,624
5. Step 5: Solve for x
   x = 13,094,682,624/51,665
6. Step 6: Final answer
   x = 253,453.65