Finding the Third Proportional to 51,820.80 and 109,869.12

Step by Step Solution

1. Step 1: Write the proportion equation
   51,820.80 : 109,869.12 = 109,869.12 : x
2. Step 2: Convert to fraction form
   51,820.80/109,869.12 = 109,869.12/x
3. Step 3: Cross multiply
   51,820.80x = 109,869.12 × 109,869.12
4. Step 4: Simplify right side
   51,820.80x = 12,071,222,911.56
5. Step 5: Solve for x
   x = 12,071,222,911.56/51,820.80
6. Step 6: Final answer
   x = 232,941.63