Finding the Third Proportional to 65,490 and 142,972

Step by Step Solution

1. Step 1: Write the proportion equation
   65,490 : 142,972 = 142,972 : x
2. Step 2: Convert to fraction form
   65,490/142,972 = 142,972/x
3. Step 3: Cross multiply
   65,490x = 142,972 × 142,972
4. Step 4: Simplify right side
   65,490x = 20,440,992,784
5. Step 5: Solve for x
   x = 20,440,992,784/65,490
6. Step 6: Final answer
   x = 312,123.88