Finding the Third Proportional to 261,819 and 400,342.50

Step by Step Solution

1. Step 1: Write the proportion equation
   261,819 : 400,342.50 = 400,342.50 : x
2. Step 2: Convert to fraction form
   261,819/400,342.50 = 400,342.50/x
3. Step 3: Cross multiply
   261,819x = 400,342.50 × 400,342.50
4. Step 4: Simplify right side
   261,819x = 160,274,117,306.25
5. Step 5: Solve for x
   x = 160,274,117,306.25/261,819
6. Step 6: Final answer
   x = 612,156.17