Finding the Third Proportional to 78,921 and 114,234

Step by Step Solution

1. Step 1: Write the proportion equation
   78,921 : 114,234 = 114,234 : x
2. Step 2: Convert to fraction form
   78,921/114,234 = 114,234/x
3. Step 3: Cross multiply
   78,921x = 114,234 × 114,234
4. Step 4: Simplify right side
   78,921x = 13,049,406,756
5. Step 5: Solve for x
   x = 13,049,406,756/78,921
6. Step 6: Final answer
   x = 165,347.71