Finding the Third Proportional to 59,712 and 130,144

Step by Step Solution

1. Step 1: Write the proportion equation
   59,712 : 130,144 = 130,144 : x
2. Step 2: Convert to fraction form
   59,712/130,144 = 130,144/x
3. Step 3: Cross multiply
   59,712x = 130,144 × 130,144
4. Step 4: Simplify right side
   59,712x = 16,937,460,736
5. Step 5: Solve for x
   x = 16,937,460,736/59,712
6. Step 6: Final answer
   x = 283,652.54