Finding the Third Proportional to 263,010 and 384,673.50

Step by Step Solution

1. Step 1: Write the proportion equation
   263,010 : 384,673.50 = 384,673.50 : x
2. Step 2: Convert to fraction form
   263,010/384,673.50 = 384,673.50/x
3. Step 3: Cross multiply
   263,010x = 384,673.50 × 384,673.50
4. Step 4: Simplify right side
   263,010x = 147,973,701,602.25
5. Step 5: Solve for x
   x = 147,973,701,602.25/263,010
6. Step 6: Final answer
   x = 562,616.26