Finding the Third Proportional to 229,368 and 347,499

Step by Step Solution

1. Step 1: Write the proportion equation
   229,368 : 347,499 = 347,499 : x
2. Step 2: Convert to fraction form
   229,368/347,499 = 347,499/x
3. Step 3: Cross multiply
   229,368x = 347,499 × 347,499
4. Step 4: Simplify right side
   229,368x = 120,755,555,001
5. Step 5: Solve for x
   x = 120,755,555,001/229,368
6. Step 6: Final answer
   x = 526,470.80