Finding the Third Proportional to 51,840 and 109,213.31

Step by Step Solution

1. Step 1: Write the proportion equation
   51,840 : 109,213.31 = 109,213.31 : x
2. Step 2: Convert to fraction form
   51,840/109,213.31 = 109,213.31/x
3. Step 3: Cross multiply
   51,840x = 109,213.31 × 109,213.31
4. Step 4: Simplify right side
   51,840x = 11,927,547,627.22
5. Step 5: Solve for x
   x = 11,927,547,627.22/51,840
6. Step 6: Final answer
   x = 230,083.87