Finding the Third Proportional to 116,595 and 256,032

Step by Step Solution

1. Step 1: Write the proportion equation
   116,595 : 256,032 = 256,032 : x
2. Step 2: Convert to fraction form
   116,595/256,032 = 256,032/x
3. Step 3: Cross multiply
   116,595x = 256,032 × 256,032
4. Step 4: Simplify right side
   116,595x = 65,552,385,024
5. Step 5: Solve for x
   x = 65,552,385,024/116,595
6. Step 6: Final answer
   x = 562,222.95