Finding the Third Proportional to 300,591 and 466,074

Step by Step Solution

1. Step 1: Write the proportion equation
   300,591 : 466,074 = 466,074 : x
2. Step 2: Convert to fraction form
   300,591/466,074 = 466,074/x
3. Step 3: Cross multiply
   300,591x = 466,074 × 466,074
4. Step 4: Simplify right side
   300,591x = 217,224,973,476
5. Step 5: Solve for x
   x = 217,224,973,476/300,591
6. Step 6: Final answer
   x = 722,659.61