Finding the Third Proportional to 42,498 and 93,384

Step by Step Solution

1. Step 1: Write the proportion equation
   42,498 : 93,384 = 93,384 : x
2. Step 2: Convert to fraction form
   42,498/93,384 = 93,384/x
3. Step 3: Cross multiply
   42,498x = 93,384 × 93,384
4. Step 4: Simplify right side
   42,498x = 8,720,571,456
5. Step 5: Solve for x
   x = 8,720,571,456/42,498
6. Step 6: Final answer
   x = 205,199.57