Finding the Third Proportional to 109,887 and 166,933.50

Step by Step Solution

1. Step 1: Write the proportion equation
   109,887 : 166,933.50 = 166,933.50 : x
2. Step 2: Convert to fraction form
   109,887/166,933.50 = 166,933.50/x
3. Step 3: Cross multiply
   109,887x = 166,933.50 × 166,933.50
4. Step 4: Simplify right side
   109,887x = 27,866,793,422.25
5. Step 5: Solve for x
   x = 27,866,793,422.25/109,887
6. Step 6: Final answer
   x = 253,595.00