Finding the Third Proportional to 133,766 and 278,603.50

Step by Step Solution

1. Step 1: Write the proportion equation
   133,766 : 278,603.50 = 278,603.50 : x
2. Step 2: Convert to fraction form
   133,766/278,603.50 = 278,603.50/x
3. Step 3: Cross multiply
   133,766x = 278,603.50 × 278,603.50
4. Step 4: Simplify right side
   133,766x = 77,619,910,212.25
5. Step 5: Solve for x
   x = 77,619,910,212.25/133,766
6. Step 6: Final answer
   x = 580,266.36