Finding the Third Proportional to 175,918 and 384,095

Step by Step Solution

1. Step 1: Write the proportion equation
   175,918 : 384,095 = 384,095 : x
2. Step 2: Convert to fraction form
   175,918/384,095 = 384,095/x
3. Step 3: Cross multiply
   175,918x = 384,095 × 384,095
4. Step 4: Simplify right side
   175,918x = 147,528,969,025
5. Step 5: Solve for x
   x = 147,528,969,025/175,918
6. Step 6: Final answer
   x = 838,623.50