Finding the Third Proportional to 91,665 and 145,858.50

Step by Step Solution

1. Step 1: Write the proportion equation
   91,665 : 145,858.50 = 145,858.50 : x
2. Step 2: Convert to fraction form
   91,665/145,858.50 = 145,858.50/x
3. Step 3: Cross multiply
   91,665x = 145,858.50 × 145,858.50
4. Step 4: Simplify right side
   91,665x = 21,274,702,022.25
5. Step 5: Solve for x
   x = 21,274,702,022.25/91,665
6. Step 6: Final answer
   x = 232,091.88