Finding the Third Proportional to 106,232 and 231,196

Step by Step Solution

1. Step 1: Write the proportion equation
   106,232 : 231,196 = 231,196 : x
2. Step 2: Convert to fraction form
   106,232/231,196 = 231,196/x
3. Step 3: Cross multiply
   106,232x = 231,196 × 231,196
4. Step 4: Simplify right side
   106,232x = 53,451,590,416
5. Step 5: Solve for x
   x = 53,451,590,416/106,232
6. Step 6: Final answer
   x = 503,159.03