Finding the Third Proportional to 128,862 and 185,596.50

Step by Step Solution

1. Step 1: Write the proportion equation
   128,862 : 185,596.50 = 185,596.50 : x
2. Step 2: Convert to fraction form
   128,862/185,596.50 = 185,596.50/x
3. Step 3: Cross multiply
   128,862x = 185,596.50 × 185,596.50
4. Step 4: Simplify right side
   128,862x = 34,446,060,812.25
5. Step 5: Solve for x
   x = 34,446,060,812.25/128,862
6. Step 6: Final answer
   x = 267,309.69