Finding the Third Proportional to 254,034 and 371,514.50

Step by Step Solution

1. Step 1: Write the proportion equation
   254,034 : 371,514.50 = 371,514.50 : x
2. Step 2: Convert to fraction form
   254,034/371,514.50 = 371,514.50/x
3. Step 3: Cross multiply
   254,034x = 371,514.50 × 371,514.50
4. Step 4: Simplify right side
   254,034x = 138,023,023,710.25
5. Step 5: Solve for x
   x = 138,023,023,710.25/254,034
6. Step 6: Final answer
   x = 543,325.00