Finding the Third Proportional to 414,385.31 and 584,902.69

Step by Step Solution

1. Step 1: Write the proportion equation
   414,385.31 : 584,902.69 = 584,902.69 : x
2. Step 2: Convert to fraction form
   414,385.31/584,902.69 = 584,902.69/x
3. Step 3: Cross multiply
   414,385.31x = 584,902.69 × 584,902.69
4. Step 4: Simplify right side
   414,385.31x = 342,111,153,844.72
5. Step 5: Solve for x
   x = 342,111,153,844.72/414,385.31
6. Step 6: Final answer
   x = 825,587.06