Finding the Third Proportional to 86,191 and 133,090.50

Step by Step Solution

1. Step 1: Write the proportion equation
   86,191 : 133,090.50 = 133,090.50 : x
2. Step 2: Convert to fraction form
   86,191/133,090.50 = 133,090.50/x
3. Step 3: Cross multiply
   86,191x = 133,090.50 × 133,090.50
4. Step 4: Simplify right side
   86,191x = 17,713,081,190.25
5. Step 5: Solve for x
   x = 17,713,081,190.25/86,191
6. Step 6: Final answer
   x = 205,509.64