Finding the Third Proportional to 65,346 and 143,143.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,346 : 143,143.50 = 143,143.50 : x
2. Step 2: Convert to fraction form
   65,346/143,143.50 = 143,143.50/x
3. Step 3: Cross multiply
   65,346x = 143,143.50 × 143,143.50
4. Step 4: Simplify right side
   65,346x = 20,490,061,592.25
5. Step 5: Solve for x
   x = 20,490,061,592.25/65,346
6. Step 6: Final answer
   x = 313,562.60