Finding the Third Proportional to 81,784 and 109,900

Step by Step Solution

1. Step 1: Write the proportion equation
   81,784 : 109,900 = 109,900 : x
2. Step 2: Convert to fraction form
   81,784/109,900 = 109,900/x
3. Step 3: Cross multiply
   81,784x = 109,900 × 109,900
4. Step 4: Simplify right side
   81,784x = 12,078,010,000
5. Step 5: Solve for x
   x = 12,078,010,000/81,784
6. Step 6: Final answer
   x = 147,681.82