Finding the Third Proportional to 128,835 and 185,563

Step by Step Solution

1. Step 1: Write the proportion equation
   128,835 : 185,563 = 185,563 : x
2. Step 2: Convert to fraction form
   128,835/185,563 = 185,563/x
3. Step 3: Cross multiply
   128,835x = 185,563 × 185,563
4. Step 4: Simplify right side
   128,835x = 34,433,626,969
5. Step 5: Solve for x
   x = 34,433,626,969/128,835
6. Step 6: Final answer
   x = 267,269.20