Finding the Third Proportional to 59,520 and 130,461

Step by Step Solution

1. Step 1: Write the proportion equation
   59,520 : 130,461 = 130,461 : x
2. Step 2: Convert to fraction form
   59,520/130,461 = 130,461/x
3. Step 3: Cross multiply
   59,520x = 130,461 × 130,461
4. Step 4: Simplify right side
   59,520x = 17,020,072,521
5. Step 5: Solve for x
   x = 17,020,072,521/59,520
6. Step 6: Final answer
   x = 285,955.52