Finding the Third Proportional to 133,596 and 278,212.50

Step by Step Solution

1. Step 1: Write the proportion equation
   133,596 : 278,212.50 = 278,212.50 : x
2. Step 2: Convert to fraction form
   133,596/278,212.50 = 278,212.50/x
3. Step 3: Cross multiply
   133,596x = 278,212.50 × 278,212.50
4. Step 4: Simplify right side
   133,596x = 77,402,195,156.25
5. Step 5: Solve for x
   x = 77,402,195,156.25/133,596
6. Step 6: Final answer
   x = 579,375.09