Finding the Third Proportional to 114,655.50 and 269,779.50

Step by Step Solution

1. Step 1: Write the proportion equation
   114,655.50 : 269,779.50 = 269,779.50 : x
2. Step 2: Convert to fraction form
   114,655.50/269,779.50 = 269,779.50/x
3. Step 3: Cross multiply
   114,655.50x = 269,779.50 × 269,779.50
4. Step 4: Simplify right side
   114,655.50x = 72,780,978,620.25
5. Step 5: Solve for x
   x = 72,780,978,620.25/114,655.50
6. Step 6: Final answer
   x = 634,779.65