Finding the Third Proportional to 109,201.50 and 164,572.50

Step by Step Solution

1. Step 1: Write the proportion equation
   109,201.50 : 164,572.50 = 164,572.50 : x
2. Step 2: Convert to fraction form
   109,201.50/164,572.50 = 164,572.50/x
3. Step 3: Cross multiply
   109,201.50x = 164,572.50 × 164,572.50
4. Step 4: Simplify right side
   109,201.50x = 27,084,107,756.25
5. Step 5: Solve for x
   x = 27,084,107,756.25/109,201.50
6. Step 6: Final answer
   x = 248,019.56