Finding the Third Proportional to 300,506 and 467,986

Step by Step Solution

1. Step 1: Write the proportion equation
   300,506 : 467,986 = 467,986 : x
2. Step 2: Convert to fraction form
   300,506/467,986 = 467,986/x
3. Step 3: Cross multiply
   300,506x = 467,986 × 467,986
4. Step 4: Simplify right side
   300,506x = 219,010,896,196
5. Step 5: Solve for x
   x = 219,010,896,196/300,506
6. Step 6: Final answer
   x = 728,807.07