Finding the Third Proportional to 185,141 and 280,308

Step by Step Solution

1. Step 1: Write the proportion equation
   185,141 : 280,308 = 280,308 : x
2. Step 2: Convert to fraction form
   185,141/280,308 = 280,308/x
3. Step 3: Cross multiply
   185,141x = 280,308 × 280,308
4. Step 4: Simplify right side
   185,141x = 78,572,574,864
5. Step 5: Solve for x
   x = 78,572,574,864/185,141
6. Step 6: Final answer
   x = 424,393.16