Finding the Third Proportional to 535,577,233.50 and 827,243,185.50

Step by Step Solution

1. Step 1: Write the proportion equation
   535,577,233.50 : 827,243,185.50 = 827,243,185.50 : x
2. Step 2: Convert to fraction form
   535,577,233.50/827,243,185.50 = 827,243,185.50/x
3. Step 3: Cross multiply
   535,577,233.50x = 827,243,185.50 × 827,243,185.50
4. Step 4: Simplify right side
   535,577,233.50x = 684,331,287,956,187,392
5. Step 5: Solve for x
   x = 684,331,287,956,187,392/535,577,233.50
6. Step 6: Final answer
   x = 1,277,745,290.78