Finding the Third Proportional to 95,820 and 208,434

Step by Step Solution

1. Step 1: Write the proportion equation
   95,820 : 208,434 = 208,434 : x
2. Step 2: Convert to fraction form
   95,820/208,434 = 208,434/x
3. Step 3: Cross multiply
   95,820x = 208,434 × 208,434
4. Step 4: Simplify right side
   95,820x = 43,444,732,356
5. Step 5: Solve for x
   x = 43,444,732,356/95,820
6. Step 6: Final answer
   x = 453,399.42