Finding the Third Proportional to 109,966 and 153,467.50

Step by Step Solution

1. Step 1: Write the proportion equation
   109,966 : 153,467.50 = 153,467.50 : x
2. Step 2: Convert to fraction form
   109,966/153,467.50 = 153,467.50/x
3. Step 3: Cross multiply
   109,966x = 153,467.50 × 153,467.50
4. Step 4: Simplify right side
   109,966x = 23,552,273,556.25
5. Step 5: Solve for x
   x = 23,552,273,556.25/109,966
6. Step 6: Final answer
   x = 214,177.78