Finding the Third Proportional to 51,584 and 113,009.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,584 : 113,009.50 = 113,009.50 : x
2. Step 2: Convert to fraction form
   51,584/113,009.50 = 113,009.50/x
3. Step 3: Cross multiply
   51,584x = 113,009.50 × 113,009.50
4. Step 4: Simplify right side
   51,584x = 12,771,147,090.25
5. Step 5: Solve for x
   x = 12,771,147,090.25/51,584
6. Step 6: Final answer
   x = 247,579.62