Finding the Third Proportional to 74,370 and 145,003

Step by Step Solution

1. Step 1: Write the proportion equation
   74,370 : 145,003 = 145,003 : x
2. Step 2: Convert to fraction form
   74,370/145,003 = 145,003/x
3. Step 3: Cross multiply
   74,370x = 145,003 × 145,003
4. Step 4: Simplify right side
   74,370x = 21,025,870,009
5. Step 5: Solve for x
   x = 21,025,870,009/74,370
6. Step 6: Final answer
   x = 282,719.78