Finding the Third Proportional to 45,981 and 108,769.50

Step by Step Solution

1. Step 1: Write the proportion equation
   45,981 : 108,769.50 = 108,769.50 : x
2. Step 2: Convert to fraction form
   45,981/108,769.50 = 108,769.50/x
3. Step 3: Cross multiply
   45,981x = 108,769.50 × 108,769.50
4. Step 4: Simplify right side
   45,981x = 11,830,804,130.25
5. Step 5: Solve for x
   x = 11,830,804,130.25/45,981
6. Step 6: Final answer
   x = 257,297.67