Finding the Third Proportional to 261,759 and 415,156.50

Step by Step Solution

1. Step 1: Write the proportion equation
   261,759 : 415,156.50 = 415,156.50 : x
2. Step 2: Convert to fraction form
   261,759/415,156.50 = 415,156.50/x
3. Step 3: Cross multiply
   261,759x = 415,156.50 × 415,156.50
4. Step 4: Simplify right side
   261,759x = 172,354,919,492.25
5. Step 5: Solve for x
   x = 172,354,919,492.25/261,759
6. Step 6: Final answer
   x = 658,448.88