Finding the Third Proportional to 323,032 and 452,665

Step by Step Solution

1. Step 1: Write the proportion equation
   323,032 : 452,665 = 452,665 : x
2. Step 2: Convert to fraction form
   323,032/452,665 = 452,665/x
3. Step 3: Cross multiply
   323,032x = 452,665 × 452,665
4. Step 4: Simplify right side
   323,032x = 204,905,602,225
5. Step 5: Solve for x
   x = 204,905,602,225/323,032
6. Step 6: Final answer
   x = 634,319.83