Finding the Third Proportional to 78,468.50 and 114,057

Step by Step Solution

1. Step 1: Write the proportion equation
   78,468.50 : 114,057 = 114,057 : x
2. Step 2: Convert to fraction form
   78,468.50/114,057 = 114,057/x
3. Step 3: Cross multiply
   78,468.50x = 114,057 × 114,057
4. Step 4: Simplify right side
   78,468.50x = 13,008,999,249
5. Step 5: Solve for x
   x = 13,008,999,249/78,468.50
6. Step 6: Final answer
   x = 165,786.26