Finding the Third Proportional to 147,726 and 316,458

Step by Step Solution

1. Step 1: Write the proportion equation
   147,726 : 316,458 = 316,458 : x
2. Step 2: Convert to fraction form
   147,726/316,458 = 316,458/x
3. Step 3: Cross multiply
   147,726x = 316,458 × 316,458
4. Step 4: Simplify right side
   147,726x = 100,145,665,764
5. Step 5: Solve for x
   x = 100,145,665,764/147,726
6. Step 6: Final answer
   x = 677,914.96