Finding the Third Proportional to 185,337 and 406,759.50

Step by Step Solution

1. Step 1: Write the proportion equation
   185,337 : 406,759.50 = 406,759.50 : x
2. Step 2: Convert to fraction form
   185,337/406,759.50 = 406,759.50/x
3. Step 3: Cross multiply
   185,337x = 406,759.50 × 406,759.50
4. Step 4: Simplify right side
   185,337x = 165,453,290,840.25
5. Step 5: Solve for x
   x = 165,453,290,840.25/185,337
6. Step 6: Final answer
   x = 892,715.92