Finding the Third Proportional to 59,384 and 130,672

Step by Step Solution

1. Step 1: Write the proportion equation
   59,384 : 130,672 = 130,672 : x
2. Step 2: Convert to fraction form
   59,384/130,672 = 130,672/x
3. Step 3: Cross multiply
   59,384x = 130,672 × 130,672
4. Step 4: Simplify right side
   59,384x = 17,075,171,584
5. Step 5: Solve for x
   x = 17,075,171,584/59,384
6. Step 6: Final answer
   x = 287,538.25