Finding the Third Proportional to 52,153.50 and 120,967.50

Step by Step Solution

1. Step 1: Write the proportion equation
   52,153.50 : 120,967.50 = 120,967.50 : x
2. Step 2: Convert to fraction form
   52,153.50/120,967.50 = 120,967.50/x
3. Step 3: Cross multiply
   52,153.50x = 120,967.50 × 120,967.50
4. Step 4: Simplify right side
   52,153.50x = 14,633,136,056.25
5. Step 5: Solve for x
   x = 14,633,136,056.25/52,153.50
6. Step 6: Final answer
   x = 280,578.22