Finding the Third Proportional to 75,181 and 111,961.50

Step by Step Solution

1. Step 1: Write the proportion equation
   75,181 : 111,961.50 = 111,961.50 : x
2. Step 2: Convert to fraction form
   75,181/111,961.50 = 111,961.50/x
3. Step 3: Cross multiply
   75,181x = 111,961.50 × 111,961.50
4. Step 4: Simplify right side
   75,181x = 12,535,377,482.25
5. Step 5: Solve for x
   x = 12,535,377,482.25/75,181
6. Step 6: Final answer
   x = 166,735.98