Finding the Third Proportional to 123,882 and 269,905.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,882 : 269,905.50 = 269,905.50 : x
2. Step 2: Convert to fraction form
   123,882/269,905.50 = 269,905.50/x
3. Step 3: Cross multiply
   123,882x = 269,905.50 × 269,905.50
4. Step 4: Simplify right side
   123,882x = 72,848,978,930.25
5. Step 5: Solve for x
   x = 72,848,978,930.25/123,882
6. Step 6: Final answer
   x = 588,051.36