Finding the Third Proportional to 53,667 and 105,980.63

Step by Step Solution

1. Step 1: Write the proportion equation
   53,667 : 105,980.63 = 105,980.63 : x
2. Step 2: Convert to fraction form
   53,667/105,980.63 = 105,980.63/x
3. Step 3: Cross multiply
   53,667x = 105,980.63 × 105,980.63
4. Step 4: Simplify right side
   53,667x = 11,231,892,875.39
5. Step 5: Solve for x
   x = 11,231,892,875.39/53,667
6. Step 6: Final answer
   x = 209,288.63