Finding the Third Proportional to 175,626 and 377,878.50

Step by Step Solution

1. Step 1: Write the proportion equation
   175,626 : 377,878.50 = 377,878.50 : x
2. Step 2: Convert to fraction form
   175,626/377,878.50 = 377,878.50/x
3. Step 3: Cross multiply
   175,626x = 377,878.50 × 377,878.50
4. Step 4: Simplify right side
   175,626x = 142,792,160,762.25
5. Step 5: Solve for x
   x = 142,792,160,762.25/175,626
6. Step 6: Final answer
   x = 813,046.82