Finding the Third Proportional to 106,992 and 165,583.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,992 : 165,583.50 = 165,583.50 : x
2. Step 2: Convert to fraction form
   106,992/165,583.50 = 165,583.50/x
3. Step 3: Cross multiply
   106,992x = 165,583.50 × 165,583.50
4. Step 4: Simplify right side
   106,992x = 27,417,895,472.25
5. Step 5: Solve for x
   x = 27,417,895,472.25/106,992
6. Step 6: Final answer
   x = 256,261.17