Finding the Third Proportional to 72,396 and 113,684

Step by Step Solution

1. Step 1: Write the proportion equation
   72,396 : 113,684 = 113,684 : x
2. Step 2: Convert to fraction form
   72,396/113,684 = 113,684/x
3. Step 3: Cross multiply
   72,396x = 113,684 × 113,684
4. Step 4: Simplify right side
   72,396x = 12,924,051,856
5. Step 5: Solve for x
   x = 12,924,051,856/72,396
6. Step 6: Final answer
   x = 178,518.87