Finding the Third Proportional to 116,590.50 and 256,023

Step by Step Solution

1. Step 1: Write the proportion equation
   116,590.50 : 256,023 = 256,023 : x
2. Step 2: Convert to fraction form
   116,590.50/256,023 = 256,023/x
3. Step 3: Cross multiply
   116,590.50x = 256,023 × 256,023
4. Step 4: Simplify right side
   116,590.50x = 65,547,776,529
5. Step 5: Solve for x
   x = 65,547,776,529/116,590.50
6. Step 6: Final answer
   x = 562,205.12