Finding the Third Proportional to 52,820.50 and 116,009

Step by Step Solution

1. Step 1: Write the proportion equation
   52,820.50 : 116,009 = 116,009 : x
2. Step 2: Convert to fraction form
   52,820.50/116,009 = 116,009/x
3. Step 3: Cross multiply
   52,820.50x = 116,009 × 116,009
4. Step 4: Simplify right side
   52,820.50x = 13,458,088,081
5. Step 5: Solve for x
   x = 13,458,088,081/52,820.50
6. Step 6: Final answer
   x = 254,789.11