Finding the Third Proportional to 109,525.50 and 164,774.25

Step by Step Solution

1. Step 1: Write the proportion equation
   109,525.50 : 164,774.25 = 164,774.25 : x
2. Step 2: Convert to fraction form
   109,525.50/164,774.25 = 164,774.25/x
3. Step 3: Cross multiply
   109,525.50x = 164,774.25 × 164,774.25
4. Step 4: Simplify right side
   109,525.50x = 27,150,553,463.06
5. Step 5: Solve for x
   x = 27,150,553,463.06/109,525.50
6. Step 6: Final answer
   x = 247,892.53