Finding the Third Proportional to 95,826 and 208,460

Step by Step Solution

1. Step 1: Write the proportion equation
   95,826 : 208,460 = 208,460 : x
2. Step 2: Convert to fraction form
   95,826/208,460 = 208,460/x
3. Step 3: Cross multiply
   95,826x = 208,460 × 208,460
4. Step 4: Simplify right side
   95,826x = 43,455,571,600
5. Step 5: Solve for x
   x = 43,455,571,600/95,826
6. Step 6: Final answer
   x = 453,484.14