Finding the Third Proportional to 68,196 and 145,870

Step by Step Solution

1. Step 1: Write the proportion equation
   68,196 : 145,870 = 145,870 : x
2. Step 2: Convert to fraction form
   68,196/145,870 = 145,870/x
3. Step 3: Cross multiply
   68,196x = 145,870 × 145,870
4. Step 4: Simplify right side
   68,196x = 21,278,056,900
5. Step 5: Solve for x
   x = 21,278,056,900/68,196
6. Step 6: Final answer
   x = 312,013.27