Finding the Third Proportional to 233,464 and 362,196

Step by Step Solution

1. Step 1: Write the proportion equation
   233,464 : 362,196 = 362,196 : x
2. Step 2: Convert to fraction form
   233,464/362,196 = 362,196/x
3. Step 3: Cross multiply
   233,464x = 362,196 × 362,196
4. Step 4: Simplify right side
   233,464x = 131,185,942,416
5. Step 5: Solve for x
   x = 131,185,942,416/233,464
6. Step 6: Final answer
   x = 561,910.80