Finding the Third Proportional to 95,730 and 204,490.50

Step by Step Solution

1. Step 1: Write the proportion equation
   95,730 : 204,490.50 = 204,490.50 : x
2. Step 2: Convert to fraction form
   95,730/204,490.50 = 204,490.50/x
3. Step 3: Cross multiply
   95,730x = 204,490.50 × 204,490.50
4. Step 4: Simplify right side
   95,730x = 41,816,364,590.25
5. Step 5: Solve for x
   x = 41,816,364,590.25/95,730
6. Step 6: Final answer
   x = 436,815.68