Finding the Third Proportional to 91,371 and 136,678.50

Step by Step Solution

1. Step 1: Write the proportion equation
   91,371 : 136,678.50 = 136,678.50 : x
2. Step 2: Convert to fraction form
   91,371/136,678.50 = 136,678.50/x
3. Step 3: Cross multiply
   91,371x = 136,678.50 × 136,678.50
4. Step 4: Simplify right side
   91,371x = 18,681,012,362.25
5. Step 5: Solve for x
   x = 18,681,012,362.25/91,371
6. Step 6: Final answer
   x = 204,452.31