Finding the Third Proportional to 193,826 and 415,300

Step by Step Solution

1. Step 1: Write the proportion equation
   193,826 : 415,300 = 415,300 : x
2. Step 2: Convert to fraction form
   193,826/415,300 = 415,300/x
3. Step 3: Cross multiply
   193,826x = 415,300 × 415,300
4. Step 4: Simplify right side
   193,826x = 172,474,090,000
5. Step 5: Solve for x
   x = 172,474,090,000/193,826
6. Step 6: Final answer
   x = 889,839.80