Finding the Third Proportional to 142,884 and 319,598.16

Step by Step Solution

1. Step 1: Write the proportion equation
   142,884 : 319,598.16 = 319,598.16 : x
2. Step 2: Convert to fraction form
   142,884/319,598.16 = 319,598.16/x
3. Step 3: Cross multiply
   142,884x = 319,598.16 × 319,598.16
4. Step 4: Simplify right side
   142,884x = 102,142,981,478.40
5. Step 5: Solve for x
   x = 102,142,981,478.40/142,884
6. Step 6: Final answer
   x = 714,866.48