Finding the Third Proportional to 333,967.50 and 684,297

Step by Step Solution

1. Step 1: Write the proportion equation
   333,967.50 : 684,297 = 684,297 : x
2. Step 2: Convert to fraction form
   333,967.50/684,297 = 684,297/x
3. Step 3: Cross multiply
   333,967.50x = 684,297 × 684,297
4. Step 4: Simplify right side
   333,967.50x = 468,262,384,209
5. Step 5: Solve for x
   x = 468,262,384,209/333,967.50
6. Step 6: Final answer
   x = 1,402,119.62