Finding the Third Proportional to 52,410 and 116,430

Step by Step Solution

1. Step 1: Write the proportion equation
   52,410 : 116,430 = 116,430 : x
2. Step 2: Convert to fraction form
   52,410/116,430 = 116,430/x
3. Step 3: Cross multiply
   52,410x = 116,430 × 116,430
4. Step 4: Simplify right side
   52,410x = 13,555,944,900
5. Step 5: Solve for x
   x = 13,555,944,900/52,410
6. Step 6: Final answer
   x = 258,651.88