Finding the Third Proportional to 174,947 and 278,510.25

Step by Step Solution

1. Step 1: Write the proportion equation
   174,947 : 278,510.25 = 278,510.25 : x
2. Step 2: Convert to fraction form
   174,947/278,510.25 = 278,510.25/x
3. Step 3: Cross multiply
   174,947x = 278,510.25 × 278,510.25
4. Step 4: Simplify right side
   174,947x = 77,567,959,355.06
5. Step 5: Solve for x
   x = 77,567,959,355.06/174,947
6. Step 6: Final answer
   x = 443,379.76