Finding the Third Proportional to 546,314.63 and 827,091

Step by Step Solution

1. Step 1: Write the proportion equation
   546,314.63 : 827,091 = 827,091 : x
2. Step 2: Convert to fraction form
   546,314.63/827,091 = 827,091/x
3. Step 3: Cross multiply
   546,314.63x = 827,091 × 827,091
4. Step 4: Simplify right side
   546,314.63x = 684,079,522,281
5. Step 5: Solve for x
   x = 684,079,522,281/546,314.63
6. Step 6: Final answer
   x = 1,252,171.35