Finding the Third Proportional to 211,111.31 and 311,085.56

Step by Step Solution

1. Step 1: Write the proportion equation
   211,111.31 : 311,085.56 = 311,085.56 : x
2. Step 2: Convert to fraction form
   211,111.31/311,085.56 = 311,085.56/x
3. Step 3: Cross multiply
   211,111.31x = 311,085.56 × 311,085.56
4. Step 4: Simplify right side
   211,111.31x = 96,774,227,195.94
5. Step 5: Solve for x
   x = 96,774,227,195.94/211,111.31
6. Step 6: Final answer
   x = 458,403.80