Finding the Third Proportional to 53,140 and 109,736

Step by Step Solution

1. Step 1: Write the proportion equation
   53,140 : 109,736 = 109,736 : x
2. Step 2: Convert to fraction form
   53,140/109,736 = 109,736/x
3. Step 3: Cross multiply
   53,140x = 109,736 × 109,736
4. Step 4: Simplify right side
   53,140x = 12,041,989,696
5. Step 5: Solve for x
   x = 12,041,989,696/53,140
6. Step 6: Final answer
   x = 226,608.76