Finding the Third Proportional to 266,784 and 406,951.50

Step by Step Solution

1. Step 1: Write the proportion equation
   266,784 : 406,951.50 = 406,951.50 : x
2. Step 2: Convert to fraction form
   266,784/406,951.50 = 406,951.50/x
3. Step 3: Cross multiply
   266,784x = 406,951.50 × 406,951.50
4. Step 4: Simplify right side
   266,784x = 165,609,523,352.25
5. Step 5: Solve for x
   x = 165,609,523,352.25/266,784
6. Step 6: Final answer
   x = 620,762.58