Finding the Third Proportional to 152,136 and 321,264

Step by Step Solution

1. Step 1: Write the proportion equation
   152,136 : 321,264 = 321,264 : x
2. Step 2: Convert to fraction form
   152,136/321,264 = 321,264/x
3. Step 3: Cross multiply
   152,136x = 321,264 × 321,264
4. Step 4: Simplify right side
   152,136x = 103,210,557,696
5. Step 5: Solve for x
   x = 103,210,557,696/152,136
6. Step 6: Final answer
   x = 678,409.83