Finding the Third Proportional to 185,597 and 282,085.50

Step by Step Solution

1. Step 1: Write the proportion equation
   185,597 : 282,085.50 = 282,085.50 : x
2. Step 2: Convert to fraction form
   185,597/282,085.50 = 282,085.50/x
3. Step 3: Cross multiply
   185,597x = 282,085.50 × 282,085.50
4. Step 4: Simplify right side
   185,597x = 79,572,229,310.25
5. Step 5: Solve for x
   x = 79,572,229,310.25/185,597
6. Step 6: Final answer
   x = 428,736.61