Finding the Third Proportional to 120,735 and 191,136.38

Step by Step Solution

1. Step 1: Write the proportion equation
   120,735 : 191,136.38 = 191,136.38 : x
2. Step 2: Convert to fraction form
   120,735/191,136.38 = 191,136.38/x
3. Step 3: Cross multiply
   120,735x = 191,136.38 × 191,136.38
4. Step 4: Simplify right side
   120,735x = 36,533,113,848.14
5. Step 5: Solve for x
   x = 36,533,113,848.14/120,735
6. Step 6: Final answer
   x = 302,589.26