Finding the Third Proportional to 120,465 and 187,369.50

Step by Step Solution

1. Step 1: Write the proportion equation
   120,465 : 187,369.50 = 187,369.50 : x
2. Step 2: Convert to fraction form
   120,465/187,369.50 = 187,369.50/x
3. Step 3: Cross multiply
   120,465x = 187,369.50 × 187,369.50
4. Step 4: Simplify right side
   120,465x = 35,107,329,530.25
5. Step 5: Solve for x
   x = 35,107,329,530.25/120,465
6. Step 6: Final answer
   x = 291,431.78