Finding the Third Proportional to 95,788 and 208,156

Step by Step Solution

1. Step 1: Write the proportion equation
   95,788 : 208,156 = 208,156 : x
2. Step 2: Convert to fraction form
   95,788/208,156 = 208,156/x
3. Step 3: Cross multiply
   95,788x = 208,156 × 208,156
4. Step 4: Simplify right side
   95,788x = 43,328,920,336
5. Step 5: Solve for x
   x = 43,328,920,336/95,788
6. Step 6: Final answer
   x = 452,341.84