Finding the Third Proportional to 546,296.63 and 827,064

Step by Step Solution

1. Step 1: Write the proportion equation
   546,296.63 : 827,064 = 827,064 : x
2. Step 2: Convert to fraction form
   546,296.63/827,064 = 827,064/x
3. Step 3: Cross multiply
   546,296.63x = 827,064 × 827,064
4. Step 4: Simplify right side
   546,296.63x = 684,034,860,096
5. Step 5: Solve for x
   x = 684,034,860,096/546,296.63
6. Step 6: Final answer
   x = 1,252,130.85