Finding the Third Proportional to 42,648 and 91,776

Step by Step Solution

1. Step 1: Write the proportion equation
   42,648 : 91,776 = 91,776 : x
2. Step 2: Convert to fraction form
   42,648/91,776 = 91,776/x
3. Step 3: Cross multiply
   42,648x = 91,776 × 91,776
4. Step 4: Simplify right side
   42,648x = 8,422,834,176
5. Step 5: Solve for x
   x = 8,422,834,176/42,648
6. Step 6: Final answer
   x = 197,496.58