Finding the Third Proportional to 78,184 and 114,672

Step by Step Solution

1. Step 1: Write the proportion equation
   78,184 : 114,672 = 114,672 : x
2. Step 2: Convert to fraction form
   78,184/114,672 = 114,672/x
3. Step 3: Cross multiply
   78,184x = 114,672 × 114,672
4. Step 4: Simplify right side
   78,184x = 13,149,667,584
5. Step 5: Solve for x
   x = 13,149,667,584/78,184
6. Step 6: Final answer
   x = 168,188.73