Finding the Third Proportional to 284,163 and 379,102.50

Step by Step Solution

1. Step 1: Write the proportion equation
   284,163 : 379,102.50 = 379,102.50 : x
2. Step 2: Convert to fraction form
   284,163/379,102.50 = 379,102.50/x
3. Step 3: Cross multiply
   284,163x = 379,102.50 × 379,102.50
4. Step 4: Simplify right side
   284,163x = 143,718,705,506.25
5. Step 5: Solve for x
   x = 143,718,705,506.25/284,163
6. Step 6: Final answer
   x = 505,761.50