Finding the Third Proportional to 138,514.50 and 299,178

Step by Step Solution

1. Step 1: Write the proportion equation
   138,514.50 : 299,178 = 299,178 : x
2. Step 2: Convert to fraction form
   138,514.50/299,178 = 299,178/x
3. Step 3: Cross multiply
   138,514.50x = 299,178 × 299,178
4. Step 4: Simplify right side
   138,514.50x = 89,507,475,684
5. Step 5: Solve for x
   x = 89,507,475,684/138,514.50
6. Step 6: Final answer
   x = 646,195.71