Finding the Third Proportional to 211,776 and 328,045.50

Step by Step Solution

1. Step 1: Write the proportion equation
   211,776 : 328,045.50 = 328,045.50 : x
2. Step 2: Convert to fraction form
   211,776/328,045.50 = 328,045.50/x
3. Step 3: Cross multiply
   211,776x = 328,045.50 × 328,045.50
4. Step 4: Simplify right side
   211,776x = 107,613,850,070.25
5. Step 5: Solve for x
   x = 107,613,850,070.25/211,776
6. Step 6: Final answer
   x = 508,149.41