Finding the Third Proportional to 401,436 and 546,780.38

Step by Step Solution

1. Step 1: Write the proportion equation
   401,436 : 546,780.38 = 546,780.38 : x
2. Step 2: Convert to fraction form
   401,436/546,780.38 = 546,780.38/x
3. Step 3: Cross multiply
   401,436x = 546,780.38 × 546,780.38
4. Step 4: Simplify right side
   401,436x = 298,968,778,485.14
5. Step 5: Solve for x
   x = 298,968,778,485.14/401,436
6. Step 6: Final answer
   x = 744,748.30