Finding the Third Proportional to 185,340 and 406,765.50

Step by Step Solution

1. Step 1: Write the proportion equation
   185,340 : 406,765.50 = 406,765.50 : x
2. Step 2: Convert to fraction form
   185,340/406,765.50 = 406,765.50/x
3. Step 3: Cross multiply
   185,340x = 406,765.50 × 406,765.50
4. Step 4: Simplify right side
   185,340x = 165,458,171,990.25
5. Step 5: Solve for x
   x = 165,458,171,990.25/185,340
6. Step 6: Final answer
   x = 892,727.81