Finding the Third Proportional to 278,146.50 and 377,838

Step by Step Solution

1. Step 1: Write the proportion equation
   278,146.50 : 377,838 = 377,838 : x
2. Step 2: Convert to fraction form
   278,146.50/377,838 = 377,838/x
3. Step 3: Cross multiply
   278,146.50x = 377,838 × 377,838
4. Step 4: Simplify right side
   278,146.50x = 142,761,554,244
5. Step 5: Solve for x
   x = 142,761,554,244/278,146.50
6. Step 6: Final answer
   x = 513,260.29