Finding the Third Proportional to 51,842.50 and 109,218.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,842.50 : 109,218.50 = 109,218.50 : x
2. Step 2: Convert to fraction form
   51,842.50/109,218.50 = 109,218.50/x
3. Step 3: Cross multiply
   51,842.50x = 109,218.50 × 109,218.50
4. Step 4: Simplify right side
   51,842.50x = 11,928,680,742.25
5. Step 5: Solve for x
   x = 11,928,680,742.25/51,842.50
6. Step 6: Final answer
   x = 230,094.63