Finding the Third Proportional to 578,941.50 and 827,131.50

Step by Step Solution

1. Step 1: Write the proportion equation
   578,941.50 : 827,131.50 = 827,131.50 : x
2. Step 2: Convert to fraction form
   578,941.50/827,131.50 = 827,131.50/x
3. Step 3: Cross multiply
   578,941.50x = 827,131.50 × 827,131.50
4. Step 4: Simplify right side
   578,941.50x = 684,146,518,292.25
5. Step 5: Solve for x
   x = 684,146,518,292.25/578,941.50
6. Step 6: Final answer
   x = 1,181,719.60