Finding the Third Proportional to 154,730 and 208,764

Step by Step Solution

1. Step 1: Write the proportion equation
   154,730 : 208,764 = 208,764 : x
2. Step 2: Convert to fraction form
   154,730/208,764 = 208,764/x
3. Step 3: Cross multiply
   154,730x = 208,764 × 208,764
4. Step 4: Simplify right side
   154,730x = 43,582,407,696
5. Step 5: Solve for x
   x = 43,582,407,696/154,730
6. Step 6: Final answer
   x = 281,667.47