Finding the Third Proportional to 286,785 and 420,034.50

Step by Step Solution

1. Step 1: Write the proportion equation
   286,785 : 420,034.50 = 420,034.50 : x
2. Step 2: Convert to fraction form
   286,785/420,034.50 = 420,034.50/x
3. Step 3: Cross multiply
   286,785x = 420,034.50 × 420,034.50
4. Step 4: Simplify right side
   286,785x = 176,428,981,190.25
5. Step 5: Solve for x
   x = 176,428,981,190.25/286,785
6. Step 6: Final answer
   x = 615,195.99