Finding the Third Proportional to 57,191 and 82,505.50

Step by Step Solution

1. Step 1: Write the proportion equation
   57,191 : 82,505.50 = 82,505.50 : x
2. Step 2: Convert to fraction form
   57,191/82,505.50 = 82,505.50/x
3. Step 3: Cross multiply
   57,191x = 82,505.50 × 82,505.50
4. Step 4: Simplify right side
   57,191x = 6,807,157,530.25
5. Step 5: Solve for x
   x = 6,807,157,530.25/57,191
6. Step 6: Final answer
   x = 119,024.98