Finding the Third Proportional to 266,772 and 406,933.50

Step by Step Solution

1. Step 1: Write the proportion equation
   266,772 : 406,933.50 = 406,933.50 : x
2. Step 2: Convert to fraction form
   266,772/406,933.50 = 406,933.50/x
3. Step 3: Cross multiply
   266,772x = 406,933.50 × 406,933.50
4. Step 4: Simplify right side
   266,772x = 165,594,873,422.25
5. Step 5: Solve for x
   x = 165,594,873,422.25/266,772
6. Step 6: Final answer
   x = 620,735.58