Finding the Third Proportional to 106,096.50 and 231,869.25

Step by Step Solution

1. Step 1: Write the proportion equation
   106,096.50 : 231,869.25 = 231,869.25 : x
2. Step 2: Convert to fraction form
   106,096.50/231,869.25 = 231,869.25/x
3. Step 3: Cross multiply
   106,096.50x = 231,869.25 × 231,869.25
4. Step 4: Simplify right side
   106,096.50x = 53,763,349,095.56
5. Step 5: Solve for x
   x = 53,763,349,095.56/106,096.50
6. Step 6: Final answer
   x = 506,740.08