Finding the Third Proportional to 74,738 and 109,920

Step by Step Solution

1. Step 1: Write the proportion equation
   74,738 : 109,920 = 109,920 : x
2. Step 2: Convert to fraction form
   74,738/109,920 = 109,920/x
3. Step 3: Cross multiply
   74,738x = 109,920 × 109,920
4. Step 4: Simplify right side
   74,738x = 12,082,406,400
5. Step 5: Solve for x
   x = 12,082,406,400/74,738
6. Step 6: Final answer
   x = 161,663.50