Finding the Third Proportional to 128,985 and 185,786.25

Step by Step Solution

1. Step 1: Write the proportion equation
   128,985 : 185,786.25 = 185,786.25 : x
2. Step 2: Convert to fraction form
   128,985/185,786.25 = 185,786.25/x
3. Step 3: Cross multiply
   128,985x = 185,786.25 × 185,786.25
4. Step 4: Simplify right side
   128,985x = 34,516,530,689.06
5. Step 5: Solve for x
   x = 34,516,530,689.06/128,985
6. Step 6: Final answer
   x = 267,601.12