Finding the Third Proportional to 233,330 and 361,984

Step by Step Solution

1. Step 1: Write the proportion equation
   233,330 : 361,984 = 361,984 : x
2. Step 2: Convert to fraction form
   233,330/361,984 = 361,984/x
3. Step 3: Cross multiply
   233,330x = 361,984 × 361,984
4. Step 4: Simplify right side
   233,330x = 131,032,416,256
5. Step 5: Solve for x
   x = 131,032,416,256/233,330
6. Step 6: Final answer
   x = 561,575.52