Finding the Third Proportional to 61,380 and 132,426

Step by Step Solution

1. Step 1: Write the proportion equation
   61,380 : 132,426 = 132,426 : x
2. Step 2: Convert to fraction form
   61,380/132,426 = 132,426/x
3. Step 3: Cross multiply
   61,380x = 132,426 × 132,426
4. Step 4: Simplify right side
   61,380x = 17,536,645,476
5. Step 5: Solve for x
   x = 17,536,645,476/61,380
6. Step 6: Final answer
   x = 285,706.18