Finding the Third Proportional to 120,100 and 278,002

Step by Step Solution

1. Step 1: Write the proportion equation
   120,100 : 278,002 = 278,002 : x
2. Step 2: Convert to fraction form
   120,100/278,002 = 278,002/x
3. Step 3: Cross multiply
   120,100x = 278,002 × 278,002
4. Step 4: Simplify right side
   120,100x = 77,285,112,004
5. Step 5: Solve for x
   x = 77,285,112,004/120,100
6. Step 6: Final answer
   x = 643,506.34