Finding the Third Proportional to 42,375 and 93,262

Step by Step Solution

1. Step 1: Write the proportion equation
   42,375 : 93,262 = 93,262 : x
2. Step 2: Convert to fraction form
   42,375/93,262 = 93,262/x
3. Step 3: Cross multiply
   42,375x = 93,262 × 93,262
4. Step 4: Simplify right side
   42,375x = 8,697,800,644
5. Step 5: Solve for x
   x = 8,697,800,644/42,375
6. Step 6: Final answer
   x = 205,257.83