Finding the Third Proportional to 114,699 and 269,895.50

Step by Step Solution

1. Step 1: Write the proportion equation
   114,699 : 269,895.50 = 269,895.50 : x
2. Step 2: Convert to fraction form
   114,699/269,895.50 = 269,895.50/x
3. Step 3: Cross multiply
   114,699x = 269,895.50 × 269,895.50
4. Step 4: Simplify right side
   114,699x = 72,843,580,920.25
5. Step 5: Solve for x
   x = 72,843,580,920.25/114,699
6. Step 6: Final answer
   x = 635,084.71