Finding the Third Proportional to 263,097 and 384,817.50

Step by Step Solution

1. Step 1: Write the proportion equation
   263,097 : 384,817.50 = 384,817.50 : x
2. Step 2: Convert to fraction form
   263,097/384,817.50 = 384,817.50/x
3. Step 3: Cross multiply
   263,097x = 384,817.50 × 384,817.50
4. Step 4: Simplify right side
   263,097x = 148,084,508,306.25
5. Step 5: Solve for x
   x = 148,084,508,306.25/263,097
6. Step 6: Final answer
   x = 562,851.38