Finding the Third Proportional to 83,152 and 178,968

Step by Step Solution

1. Step 1: Write the proportion equation
   83,152 : 178,968 = 178,968 : x
2. Step 2: Convert to fraction form
   83,152/178,968 = 178,968/x
3. Step 3: Cross multiply
   83,152x = 178,968 × 178,968
4. Step 4: Simplify right side
   83,152x = 32,029,545,024
5. Step 5: Solve for x
   x = 32,029,545,024/83,152
6. Step 6: Final answer
   x = 385,192.72