Finding the Third Proportional to 273,178 and 413,575.50

Step by Step Solution

1. Step 1: Write the proportion equation
   273,178 : 413,575.50 = 413,575.50 : x
2. Step 2: Convert to fraction form
   273,178/413,575.50 = 413,575.50/x
3. Step 3: Cross multiply
   273,178x = 413,575.50 × 413,575.50
4. Step 4: Simplify right side
   273,178x = 171,044,694,200.25
5. Step 5: Solve for x
   x = 171,044,694,200.25/273,178
6. Step 6: Final answer
   x = 626,129.10