Finding the Third Proportional to 175,362 and 380,516

Step by Step Solution

1. Step 1: Write the proportion equation
   175,362 : 380,516 = 380,516 : x
2. Step 2: Convert to fraction form
   175,362/380,516 = 380,516/x
3. Step 3: Cross multiply
   175,362x = 380,516 × 380,516
4. Step 4: Simplify right side
   175,362x = 144,792,426,256
5. Step 5: Solve for x
   x = 144,792,426,256/175,362
6. Step 6: Final answer
   x = 825,677.32