Finding the Third Proportional to 67,830 and 145,692

Step by Step Solution

1. Step 1: Write the proportion equation
   67,830 : 145,692 = 145,692 : x
2. Step 2: Convert to fraction form
   67,830/145,692 = 145,692/x
3. Step 3: Cross multiply
   67,830x = 145,692 × 145,692
4. Step 4: Simplify right side
   67,830x = 21,226,158,864
5. Step 5: Solve for x
   x = 21,226,158,864/67,830
6. Step 6: Final answer
   x = 312,931.72