Finding the Third Proportional to 135,988 and 191,161.50

Step by Step Solution

1. Step 1: Write the proportion equation
   135,988 : 191,161.50 = 191,161.50 : x
2. Step 2: Convert to fraction form
   135,988/191,161.50 = 191,161.50/x
3. Step 3: Cross multiply
   135,988x = 191,161.50 × 191,161.50
4. Step 4: Simplify right side
   135,988x = 36,542,719,082.25
5. Step 5: Solve for x
   x = 36,542,719,082.25/135,988
6. Step 6: Final answer
   x = 268,720.17