Finding the Third Proportional to 123,368.06 and 256,429.69

Step by Step Solution

1. Step 1: Write the proportion equation
   123,368.06 : 256,429.69 = 256,429.69 : x
2. Step 2: Convert to fraction form
   123,368.06/256,429.69 = 256,429.69/x
3. Step 3: Cross multiply
   123,368.06x = 256,429.69 × 256,429.69
4. Step 4: Simplify right side
   123,368.06x = 65,756,184,631.35
5. Step 5: Solve for x
   x = 65,756,184,631.35/123,368.06
6. Step 6: Final answer
   x = 533,008.17