Finding the Third Proportional to 95,644 and 208,784

Step by Step Solution

1. Step 1: Write the proportion equation
   95,644 : 208,784 = 208,784 : x
2. Step 2: Convert to fraction form
   95,644/208,784 = 208,784/x
3. Step 3: Cross multiply
   95,644x = 208,784 × 208,784
4. Step 4: Simplify right side
   95,644x = 43,590,758,656
5. Step 5: Solve for x
   x = 43,590,758,656/95,644
6. Step 6: Final answer
   x = 455,760.51