Finding the Third Proportional to 273,497 and 413,897.50

Step by Step Solution

1. Step 1: Write the proportion equation
   273,497 : 413,897.50 = 413,897.50 : x
2. Step 2: Convert to fraction form
   273,497/413,897.50 = 413,897.50/x
3. Step 3: Cross multiply
   273,497x = 413,897.50 × 413,897.50
4. Step 4: Simplify right side
   273,497x = 171,311,140,506.25
5. Step 5: Solve for x
   x = 171,311,140,506.25/273,497
6. Step 6: Final answer
   x = 626,373.02