Finding the Third Proportional to 258,213 and 371,902.50

Step by Step Solution

1. Step 1: Write the proportion equation
   258,213 : 371,902.50 = 371,902.50 : x
2. Step 2: Convert to fraction form
   258,213/371,902.50 = 371,902.50/x
3. Step 3: Cross multiply
   258,213x = 371,902.50 × 371,902.50
4. Step 4: Simplify right side
   258,213x = 138,311,469,506.25
5. Step 5: Solve for x
   x = 138,311,469,506.25/258,213
6. Step 6: Final answer
   x = 535,648.75