Finding the Third Proportional to 152,838 and 336,780

Step by Step Solution

1. Step 1: Write the proportion equation
   152,838 : 336,780 = 336,780 : x
2. Step 2: Convert to fraction form
   152,838/336,780 = 336,780/x
3. Step 3: Cross multiply
   152,838x = 336,780 × 336,780
4. Step 4: Simplify right side
   152,838x = 113,420,768,400
5. Step 5: Solve for x
   x = 113,420,768,400/152,838
6. Step 6: Final answer
   x = 742,097.96