Finding the Third Proportional to 263,896.50 and 565,158

Step by Step Solution

1. Step 1: Write the proportion equation
   263,896.50 : 565,158 = 565,158 : x
2. Step 2: Convert to fraction form
   263,896.50/565,158 = 565,158/x
3. Step 3: Cross multiply
   263,896.50x = 565,158 × 565,158
4. Step 4: Simplify right side
   263,896.50x = 319,403,564,964
5. Step 5: Solve for x
   x = 319,403,564,964/263,896.50
6. Step 6: Final answer
   x = 1,210,336.50