Finding the Third Proportional to 258,903 and 349,798.50

Step by Step Solution

1. Step 1: Write the proportion equation
   258,903 : 349,798.50 = 349,798.50 : x
2. Step 2: Convert to fraction form
   258,903/349,798.50 = 349,798.50/x
3. Step 3: Cross multiply
   258,903x = 349,798.50 × 349,798.50
4. Step 4: Simplify right side
   258,903x = 122,358,990,602.25
5. Step 5: Solve for x
   x = 122,358,990,602.25/258,903
6. Step 6: Final answer
   x = 472,605.53