Finding the Third Proportional to 135,465 and 214,678.50

Step by Step Solution

1. Step 1: Write the proportion equation
   135,465 : 214,678.50 = 214,678.50 : x
2. Step 2: Convert to fraction form
   135,465/214,678.50 = 214,678.50/x
3. Step 3: Cross multiply
   135,465x = 214,678.50 × 214,678.50
4. Step 4: Simplify right side
   135,465x = 46,086,858,362.25
5. Step 5: Solve for x
   x = 46,086,858,362.25/135,465
6. Step 6: Final answer
   x = 340,212.29