Finding the Third Proportional to 205,070 and 321,045.50

Step by Step Solution

1. Step 1: Write the proportion equation
   205,070 : 321,045.50 = 321,045.50 : x
2. Step 2: Convert to fraction form
   205,070/321,045.50 = 321,045.50/x
3. Step 3: Cross multiply
   205,070x = 321,045.50 × 321,045.50
4. Step 4: Simplify right side
   205,070x = 103,070,213,070.25
5. Step 5: Solve for x
   x = 103,070,213,070.25/205,070
6. Step 6: Final answer
   x = 502,609.90