Finding the Third Proportional to 452,196 and 614,142

Step by Step Solution

1. Step 1: Write the proportion equation
   452,196 : 614,142 = 614,142 : x
2. Step 2: Convert to fraction form
   452,196/614,142 = 614,142/x
3. Step 3: Cross multiply
   452,196x = 614,142 × 614,142
4. Step 4: Simplify right side
   452,196x = 377,170,396,164
5. Step 5: Solve for x
   x = 377,170,396,164/452,196
6. Step 6: Final answer
   x = 834,086.10