Finding the Third Proportional to 114,700.50 and 269,863.50

Step by Step Solution

1. Step 1: Write the proportion equation
   114,700.50 : 269,863.50 = 269,863.50 : x
2. Step 2: Convert to fraction form
   114,700.50/269,863.50 = 269,863.50/x
3. Step 3: Cross multiply
   114,700.50x = 269,863.50 × 269,863.50
4. Step 4: Simplify right side
   114,700.50x = 72,826,308,632.25
5. Step 5: Solve for x
   x = 72,826,308,632.25/114,700.50
6. Step 6: Final answer
   x = 634,925.82