Finding the Third Proportional to 136,530 and 213,712.50

Step by Step Solution

1. Step 1: Write the proportion equation
   136,530 : 213,712.50 = 213,712.50 : x
2. Step 2: Convert to fraction form
   136,530/213,712.50 = 213,712.50/x
3. Step 3: Cross multiply
   136,530x = 213,712.50 × 213,712.50
4. Step 4: Simplify right side
   136,530x = 45,673,032,656.25
5. Step 5: Solve for x
   x = 45,673,032,656.25/136,530
6. Step 6: Final answer
   x = 334,527.45