Finding the Third Proportional to 95,642 and 208,780

Step by Step Solution

1. Step 1: Write the proportion equation
   95,642 : 208,780 = 208,780 : x
2. Step 2: Convert to fraction form
   95,642/208,780 = 208,780/x
3. Step 3: Cross multiply
   95,642x = 208,780 × 208,780
4. Step 4: Simplify right side
   95,642x = 43,589,088,400
5. Step 5: Solve for x
   x = 43,589,088,400/95,642
6. Step 6: Final answer
   x = 455,752.58