Finding the Third Proportional to 297,012 and 460,314

Step by Step Solution

1. Step 1: Write the proportion equation
   297,012 : 460,314 = 460,314 : x
2. Step 2: Convert to fraction form
   297,012/460,314 = 460,314/x
3. Step 3: Cross multiply
   297,012x = 460,314 × 460,314
4. Step 4: Simplify right side
   297,012x = 211,888,978,596
5. Step 5: Solve for x
   x = 211,888,978,596/297,012
6. Step 6: Final answer
   x = 713,402.08