Finding the Third Proportional to 59,424 and 130,510.50

Step by Step Solution

1. Step 1: Write the proportion equation
   59,424 : 130,510.50 = 130,510.50 : x
2. Step 2: Convert to fraction form
   59,424/130,510.50 = 130,510.50/x
3. Step 3: Cross multiply
   59,424x = 130,510.50 × 130,510.50
4. Step 4: Simplify right side
   59,424x = 17,032,990,610.25
5. Step 5: Solve for x
   x = 17,032,990,610.25/59,424
6. Step 6: Final answer
   x = 286,634.87