Finding the Third Proportional to 42,848 and 87,784

Step by Step Solution

1. Step 1: Write the proportion equation
   42,848 : 87,784 = 87,784 : x
2. Step 2: Convert to fraction form
   42,848/87,784 = 87,784/x
3. Step 3: Cross multiply
   42,848x = 87,784 × 87,784
4. Step 4: Simplify right side
   42,848x = 7,706,030,656
5. Step 5: Solve for x
   x = 7,706,030,656/42,848
6. Step 6: Final answer
   x = 179,845.75