Finding the Third Proportional to 69,156 and 106,805.25

Step by Step Solution

1. Step 1: Write the proportion equation
   69,156 : 106,805.25 = 106,805.25 : x
2. Step 2: Convert to fraction form
   69,156/106,805.25 = 106,805.25/x
3. Step 3: Cross multiply
   69,156x = 106,805.25 × 106,805.25
4. Step 4: Simplify right side
   69,156x = 11,407,361,427.56
5. Step 5: Solve for x
   x = 11,407,361,427.56/69,156
6. Step 6: Final answer
   x = 164,951.15