Finding the Third Proportional to 266,583 and 422,068.50

Step by Step Solution

1. Step 1: Write the proportion equation
   266,583 : 422,068.50 = 422,068.50 : x
2. Step 2: Convert to fraction form
   266,583/422,068.50 = 422,068.50/x
3. Step 3: Cross multiply
   266,583x = 422,068.50 × 422,068.50
4. Step 4: Simplify right side
   266,583x = 178,141,818,692.25
5. Step 5: Solve for x
   x = 178,141,818,692.25/266,583
6. Step 6: Final answer
   x = 668,241.48