Finding the Third Proportional to 184,300 and 278,140

Step by Step Solution

1. Step 1: Write the proportion equation
   184,300 : 278,140 = 278,140 : x
2. Step 2: Convert to fraction form
   184,300/278,140 = 278,140/x
3. Step 3: Cross multiply
   184,300x = 278,140 × 278,140
4. Step 4: Simplify right side
   184,300x = 77,361,859,600
5. Step 5: Solve for x
   x = 77,361,859,600/184,300
6. Step 6: Final answer
   x = 419,760.50