Finding the Third Proportional to 278,049 and 430,897.50

Step by Step Solution

1. Step 1: Write the proportion equation
   278,049 : 430,897.50 = 430,897.50 : x
2. Step 2: Convert to fraction form
   278,049/430,897.50 = 430,897.50/x
3. Step 3: Cross multiply
   278,049x = 430,897.50 × 430,897.50
4. Step 4: Simplify right side
   278,049x = 185,672,655,506.25
5. Step 5: Solve for x
   x = 185,672,655,506.25/278,049
6. Step 6: Final answer
   x = 667,769.55