Finding the Third Proportional to 288,340 and 459,158

Step by Step Solution

1. Step 1: Write the proportion equation
   288,340 : 459,158 = 459,158 : x
2. Step 2: Convert to fraction form
   288,340/459,158 = 459,158/x
3. Step 3: Cross multiply
   288,340x = 459,158 × 459,158
4. Step 4: Simplify right side
   288,340x = 210,826,068,964
5. Step 5: Solve for x
   x = 210,826,068,964/288,340
6. Step 6: Final answer
   x = 731,171.77