Finding the Third Proportional to 120,312 and 256,105.13

Step by Step Solution

1. Step 1: Write the proportion equation
   120,312 : 256,105.13 = 256,105.13 : x
2. Step 2: Convert to fraction form
   120,312/256,105.13 = 256,105.13/x
3. Step 3: Cross multiply
   120,312x = 256,105.13 × 256,105.13
4. Step 4: Simplify right side
   120,312x = 65,589,835,051.27
5. Step 5: Solve for x
   x = 65,589,835,051.27/120,312
6. Step 6: Final answer
   x = 545,164.53