Finding the Third Proportional to 617,961 and 827,677.50

Step by Step Solution

1. Step 1: Write the proportion equation
   617,961 : 827,677.50 = 827,677.50 : x
2. Step 2: Convert to fraction form
   617,961/827,677.50 = 827,677.50/x
3. Step 3: Cross multiply
   617,961x = 827,677.50 × 827,677.50
4. Step 4: Simplify right side
   617,961x = 685,050,044,006.25
5. Step 5: Solve for x
   x = 685,050,044,006.25/617,961
6. Step 6: Final answer
   x = 1,108,565.17