Finding the Third Proportional to 106,191 and 231,700.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,191 : 231,700.50 = 231,700.50 : x
2. Step 2: Convert to fraction form
   106,191/231,700.50 = 231,700.50/x
3. Step 3: Cross multiply
   106,191x = 231,700.50 × 231,700.50
4. Step 4: Simplify right side
   106,191x = 53,685,121,700.25
5. Step 5: Solve for x
   x = 53,685,121,700.25/106,191
6. Step 6: Final answer
   x = 505,552.46