Finding the Third Proportional to 136,164 and 299,206.50

Step by Step Solution

1. Step 1: Write the proportion equation
   136,164 : 299,206.50 = 299,206.50 : x
2. Step 2: Convert to fraction form
   136,164/299,206.50 = 299,206.50/x
3. Step 3: Cross multiply
   136,164x = 299,206.50 × 299,206.50
4. Step 4: Simplify right side
   136,164x = 89,524,529,642.25
5. Step 5: Solve for x
   x = 89,524,529,642.25/136,164
6. Step 6: Final answer
   x = 657,475.76