Finding the Third Proportional to 99,111 and 213,774

Step by Step Solution

1. Step 1: Write the proportion equation
   99,111 : 213,774 = 213,774 : x
2. Step 2: Convert to fraction form
   99,111/213,774 = 213,774/x
3. Step 3: Cross multiply
   99,111x = 213,774 × 213,774
4. Step 4: Simplify right side
   99,111x = 45,699,323,076
5. Step 5: Solve for x
   x = 45,699,323,076/99,111
6. Step 6: Final answer
   x = 461,092.34