Finding the Third Proportional to 81,776 and 109,898

Step by Step Solution

1. Step 1: Write the proportion equation
   81,776 : 109,898 = 109,898 : x
2. Step 2: Convert to fraction form
   81,776/109,898 = 109,898/x
3. Step 3: Cross multiply
   81,776x = 109,898 × 109,898
4. Step 4: Simplify right side
   81,776x = 12,077,570,404
5. Step 5: Solve for x
   x = 12,077,570,404/81,776
6. Step 6: Final answer
   x = 147,690.89