Finding the Third Proportional to 61,155 and 114,630

Step by Step Solution

1. Step 1: Write the proportion equation
   61,155 : 114,630 = 114,630 : x
2. Step 2: Convert to fraction form
   61,155/114,630 = 114,630/x
3. Step 3: Cross multiply
   61,155x = 114,630 × 114,630
4. Step 4: Simplify right side
   61,155x = 13,140,036,900
5. Step 5: Solve for x
   x = 13,140,036,900/61,155
6. Step 6: Final answer
   x = 214,864.47