Finding the Third Proportional to 106,136 and 231,010

Step by Step Solution

1. Step 1: Write the proportion equation
   106,136 : 231,010 = 231,010 : x
2. Step 2: Convert to fraction form
   106,136/231,010 = 231,010/x
3. Step 3: Cross multiply
   106,136x = 231,010 × 231,010
4. Step 4: Simplify right side
   106,136x = 53,365,620,100
5. Step 5: Solve for x
   x = 53,365,620,100/106,136
6. Step 6: Final answer
   x = 502,804.14