Finding the Third Proportional to 298,654 and 462,426

Step by Step Solution

1. Step 1: Write the proportion equation
   298,654 : 462,426 = 462,426 : x
2. Step 2: Convert to fraction form
   298,654/462,426 = 462,426/x
3. Step 3: Cross multiply
   298,654x = 462,426 × 462,426
4. Step 4: Simplify right side
   298,654x = 213,837,805,476
5. Step 5: Solve for x
   x = 213,837,805,476/298,654
6. Step 6: Final answer
   x = 716,005.16