Finding the Third Proportional to 333,691 and 787,378.50

Step by Step Solution

1. Step 1: Write the proportion equation
   333,691 : 787,378.50 = 787,378.50 : x
2. Step 2: Convert to fraction form
   333,691/787,378.50 = 787,378.50/x
3. Step 3: Cross multiply
   333,691x = 787,378.50 × 787,378.50
4. Step 4: Simplify right side
   333,691x = 619,964,902,262.25
5. Step 5: Solve for x
   x = 619,964,902,262.25/333,691
6. Step 6: Final answer
   x = 1,857,901.18