Finding the Third Proportional to 282,487.50 and 342,994.50

Step by Step Solution

1. Step 1: Write the proportion equation
   282,487.50 : 342,994.50 = 342,994.50 : x
2. Step 2: Convert to fraction form
   282,487.50/342,994.50 = 342,994.50/x
3. Step 3: Cross multiply
   282,487.50x = 342,994.50 × 342,994.50
4. Step 4: Simplify right side
   282,487.50x = 117,645,227,030.25
5. Step 5: Solve for x
   x = 117,645,227,030.25/282,487.50
6. Step 6: Final answer
   x = 416,461.71