Finding the Third Proportional to 78,343.50 and 114,234

Step by Step Solution

1. Step 1: Write the proportion equation
   78,343.50 : 114,234 = 114,234 : x
2. Step 2: Convert to fraction form
   78,343.50/114,234 = 114,234/x
3. Step 3: Cross multiply
   78,343.50x = 114,234 × 114,234
4. Step 4: Simplify right side
   78,343.50x = 13,049,406,756
5. Step 5: Solve for x
   x = 13,049,406,756/78,343.50
6. Step 6: Final answer
   x = 166,566.55