Finding the Third Proportional to 106,136 and 231,009.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,136 : 231,009.50 = 231,009.50 : x
2. Step 2: Convert to fraction form
   106,136/231,009.50 = 231,009.50/x
3. Step 3: Cross multiply
   106,136x = 231,009.50 × 231,009.50
4. Step 4: Simplify right side
   106,136x = 53,365,389,090.25
5. Step 5: Solve for x
   x = 53,365,389,090.25/106,136
6. Step 6: Final answer
   x = 502,801.96