Finding the Third Proportional to 53,185 and 109,111

Step by Step Solution

1. Step 1: Write the proportion equation
   53,185 : 109,111 = 109,111 : x
2. Step 2: Convert to fraction form
   53,185/109,111 = 109,111/x
3. Step 3: Cross multiply
   53,185x = 109,111 × 109,111
4. Step 4: Simplify right side
   53,185x = 11,905,210,321
5. Step 5: Solve for x
   x = 11,905,210,321/53,185
6. Step 6: Final answer
   x = 223,845.26