Finding the Third Proportional to 123,141 and 265,928.25

Step by Step Solution

1. Step 1: Write the proportion equation
   123,141 : 265,928.25 = 265,928.25 : x
2. Step 2: Convert to fraction form
   123,141/265,928.25 = 265,928.25/x
3. Step 3: Cross multiply
   123,141x = 265,928.25 × 265,928.25
4. Step 4: Simplify right side
   123,141x = 70,717,834,148.06
5. Step 5: Solve for x
   x = 70,717,834,148.06/123,141
6. Step 6: Final answer
   x = 574,283.42