Finding the Third Proportional to 72,920 and 114,242

Step by Step Solution

1. Step 1: Write the proportion equation
   72,920 : 114,242 = 114,242 : x
2. Step 2: Convert to fraction form
   72,920/114,242 = 114,242/x
3. Step 3: Cross multiply
   72,920x = 114,242 × 114,242
4. Step 4: Simplify right side
   72,920x = 13,051,234,564
5. Step 5: Solve for x
   x = 13,051,234,564/72,920
6. Step 6: Final answer
   x = 178,980.18