Finding the Third Proportional to 53,769 and 116,970

Step by Step Solution

1. Step 1: Write the proportion equation
   53,769 : 116,970 = 116,970 : x
2. Step 2: Convert to fraction form
   53,769/116,970 = 116,970/x
3. Step 3: Cross multiply
   53,769x = 116,970 × 116,970
4. Step 4: Simplify right side
   53,769x = 13,681,980,900
5. Step 5: Solve for x
   x = 13,681,980,900/53,769
6. Step 6: Final answer
   x = 254,458.53