Finding the Third Proportional to 59,213 and 128,460

Step by Step Solution

1. Step 1: Write the proportion equation
   59,213 : 128,460 = 128,460 : x
2. Step 2: Convert to fraction form
   59,213/128,460 = 128,460/x
3. Step 3: Cross multiply
   59,213x = 128,460 × 128,460
4. Step 4: Simplify right side
   59,213x = 16,501,971,600
5. Step 5: Solve for x
   x = 16,501,971,600/59,213
6. Step 6: Final answer
   x = 278,688.32