Finding the Third Proportional to 333,698 and 787,386

Step by Step Solution

1. Step 1: Write the proportion equation
   333,698 : 787,386 = 787,386 : x
2. Step 2: Convert to fraction form
   333,698/787,386 = 787,386/x
3. Step 3: Cross multiply
   333,698x = 787,386 × 787,386
4. Step 4: Simplify right side
   333,698x = 619,976,712,996
5. Step 5: Solve for x
   x = 619,976,712,996/333,698
6. Step 6: Final answer
   x = 1,857,897.60