Finding the Third Proportional to 333,680.50 and 786,742.50

Step by Step Solution

1. Step 1: Write the proportion equation
   333,680.50 : 786,742.50 = 786,742.50 : x
2. Step 2: Convert to fraction form
   333,680.50/786,742.50 = 786,742.50/x
3. Step 3: Cross multiply
   333,680.50x = 786,742.50 × 786,742.50
4. Step 4: Simplify right side
   333,680.50x = 618,963,761,306.25
5. Step 5: Solve for x
   x = 618,963,761,306.25/333,680.50
6. Step 6: Final answer
   x = 1,854,959.34