Finding the Third Proportional to 109,288.50 and 173,779.50

Step by Step Solution

1. Step 1: Write the proportion equation
   109,288.50 : 173,779.50 = 173,779.50 : x
2. Step 2: Convert to fraction form
   109,288.50/173,779.50 = 173,779.50/x
3. Step 3: Cross multiply
   109,288.50x = 173,779.50 × 173,779.50
4. Step 4: Simplify right side
   109,288.50x = 30,199,314,620.25
5. Step 5: Solve for x
   x = 30,199,314,620.25/109,288.50
6. Step 6: Final answer
   x = 276,326.55