Finding the Third Proportional to 185,449.50 and 278,046

Step by Step Solution

1. Step 1: Write the proportion equation
   185,449.50 : 278,046 = 278,046 : x
2. Step 2: Convert to fraction form
   185,449.50/278,046 = 278,046/x
3. Step 3: Cross multiply
   185,449.50x = 278,046 × 278,046
4. Step 4: Simplify right side
   185,449.50x = 77,309,578,116
5. Step 5: Solve for x
   x = 77,309,578,116/185,449.50
6. Step 6: Final answer
   x = 416,876.71