Finding the Third Proportional to 266,862 and 586,207.50

Step by Step Solution

1. Step 1: Write the proportion equation
   266,862 : 586,207.50 = 586,207.50 : x
2. Step 2: Convert to fraction form
   266,862/586,207.50 = 586,207.50/x
3. Step 3: Cross multiply
   266,862x = 586,207.50 × 586,207.50
4. Step 4: Simplify right side
   266,862x = 343,639,233,056.25
5. Step 5: Solve for x
   x = 343,639,233,056.25/266,862
6. Step 6: Final answer
   x = 1,287,703.88