Finding the Third Proportional to 53,696 and 116,620

Step by Step Solution

1. Step 1: Write the proportion equation
   53,696 : 116,620 = 116,620 : x
2. Step 2: Convert to fraction form
   53,696/116,620 = 116,620/x
3. Step 3: Cross multiply
   53,696x = 116,620 × 116,620
4. Step 4: Simplify right side
   53,696x = 13,600,224,400
5. Step 5: Solve for x
   x = 13,600,224,400/53,696
6. Step 6: Final answer
   x = 253,281.89