Finding the Third Proportional to 153,748 and 337,766

Step by Step Solution

1. Step 1: Write the proportion equation
   153,748 : 337,766 = 337,766 : x
2. Step 2: Convert to fraction form
   153,748/337,766 = 337,766/x
3. Step 3: Cross multiply
   153,748x = 337,766 × 337,766
4. Step 4: Simplify right side
   153,748x = 114,085,870,756
5. Step 5: Solve for x
   x = 114,085,870,756/153,748
6. Step 6: Final answer
   x = 742,031.58