Finding the Third Proportional to 53,786 and 109,948

Step by Step Solution

1. Step 1: Write the proportion equation
   53,786 : 109,948 = 109,948 : x
2. Step 2: Convert to fraction form
   53,786/109,948 = 109,948/x
3. Step 3: Cross multiply
   53,786x = 109,948 × 109,948
4. Step 4: Simplify right side
   53,786x = 12,088,562,704
5. Step 5: Solve for x
   x = 12,088,562,704/53,786
6. Step 6: Final answer
   x = 224,752.96