Finding the Third Proportional to 150,822 and 314,064

Step by Step Solution

1. Step 1: Write the proportion equation
   150,822 : 314,064 = 314,064 : x
2. Step 2: Convert to fraction form
   150,822/314,064 = 314,064/x
3. Step 3: Cross multiply
   150,822x = 314,064 × 314,064
4. Step 4: Simplify right side
   150,822x = 98,636,196,096
5. Step 5: Solve for x
   x = 98,636,196,096/150,822
6. Step 6: Final answer
   x = 653,990.77