Finding the Third Proportional to 65,158 and 142,312

Step by Step Solution

1. Step 1: Write the proportion equation
   65,158 : 142,312 = 142,312 : x
2. Step 2: Convert to fraction form
   65,158/142,312 = 142,312/x
3. Step 3: Cross multiply
   65,158x = 142,312 × 142,312
4. Step 4: Simplify right side
   65,158x = 20,252,705,344
5. Step 5: Solve for x
   x = 20,252,705,344/65,158
6. Step 6: Final answer
   x = 310,824.54