Finding the Third Proportional to 65,946 and 146,124

Step by Step Solution

1. Step 1: Write the proportion equation
   65,946 : 146,124 = 146,124 : x
2. Step 2: Convert to fraction form
   65,946/146,124 = 146,124/x
3. Step 3: Cross multiply
   65,946x = 146,124 × 146,124
4. Step 4: Simplify right side
   65,946x = 21,352,223,376
5. Step 5: Solve for x
   x = 21,352,223,376/65,946
6. Step 6: Final answer
   x = 323,783.45