Finding the Third Proportional to 78,604 and 114,192

Step by Step Solution

1. Step 1: Write the proportion equation
   78,604 : 114,192 = 114,192 : x
2. Step 2: Convert to fraction form
   78,604/114,192 = 114,192/x
3. Step 3: Cross multiply
   78,604x = 114,192 × 114,192
4. Step 4: Simplify right side
   78,604x = 13,039,812,864
5. Step 5: Solve for x
   x = 13,039,812,864/78,604
6. Step 6: Final answer
   x = 165,892.48