Finding the Third Proportional to 138,186 and 302,146.50

Step by Step Solution

1. Step 1: Write the proportion equation
   138,186 : 302,146.50 = 302,146.50 : x
2. Step 2: Convert to fraction form
   138,186/302,146.50 = 302,146.50/x
3. Step 3: Cross multiply
   138,186x = 302,146.50 × 302,146.50
4. Step 4: Simplify right side
   138,186x = 91,292,507,462.25
5. Step 5: Solve for x
   x = 91,292,507,462.25/138,186
6. Step 6: Final answer
   x = 660,649.47