Finding the Third Proportional to 123,364 and 265,933.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,364 : 265,933.50 = 265,933.50 : x
2. Step 2: Convert to fraction form
   123,364/265,933.50 = 265,933.50/x
3. Step 3: Cross multiply
   123,364x = 265,933.50 × 265,933.50
4. Step 4: Simplify right side
   123,364x = 70,720,626,422.25
5. Step 5: Solve for x
   x = 70,720,626,422.25/123,364
6. Step 6: Final answer
   x = 573,267.94