Finding the Third Proportional to 175,068 and 384,175.50

Step by Step Solution

1. Step 1: Write the proportion equation
   175,068 : 384,175.50 = 384,175.50 : x
2. Step 2: Convert to fraction form
   175,068/384,175.50 = 384,175.50/x
3. Step 3: Cross multiply
   175,068x = 384,175.50 × 384,175.50
4. Step 4: Simplify right side
   175,068x = 147,590,814,800.25
5. Step 5: Solve for x
   x = 147,590,814,800.25/175,068
6. Step 6: Final answer
   x = 843,048.50