Finding the Third Proportional to 59,310 and 130,284

Step by Step Solution

1. Step 1: Write the proportion equation
   59,310 : 130,284 = 130,284 : x
2. Step 2: Convert to fraction form
   59,310/130,284 = 130,284/x
3. Step 3: Cross multiply
   59,310x = 130,284 × 130,284
4. Step 4: Simplify right side
   59,310x = 16,973,920,656
5. Step 5: Solve for x
   x = 16,973,920,656/59,310
6. Step 6: Final answer
   x = 286,189.86