Finding the Third Proportional to 233,293 and 361,928

Step by Step Solution

1. Step 1: Write the proportion equation
   233,293 : 361,928 = 361,928 : x
2. Step 2: Convert to fraction form
   233,293/361,928 = 361,928/x
3. Step 3: Cross multiply
   233,293x = 361,928 × 361,928
4. Step 4: Simplify right side
   233,293x = 130,991,877,184
5. Step 5: Solve for x
   x = 130,991,877,184/233,293
6. Step 6: Final answer
   x = 561,490.82