Finding the Third Proportional to 380,693.25 and 535,626

Step by Step Solution

1. Step 1: Write the proportion equation
   380,693.25 : 535,626 = 535,626 : x
2. Step 2: Convert to fraction form
   380,693.25/535,626 = 535,626/x
3. Step 3: Cross multiply
   380,693.25x = 535,626 × 535,626
4. Step 4: Simplify right side
   380,693.25x = 286,895,211,876
5. Step 5: Solve for x
   x = 286,895,211,876/380,693.25
6. Step 6: Final answer
   x = 753,612.55