Finding the Third Proportional to 48,496 and 77,118

Step by Step Solution

1. Step 1: Write the proportion equation
   48,496 : 77,118 = 77,118 : x
2. Step 2: Convert to fraction form
   48,496/77,118 = 77,118/x
3. Step 3: Cross multiply
   48,496x = 77,118 × 77,118
4. Step 4: Simplify right side
   48,496x = 5,947,185,924
5. Step 5: Solve for x
   x = 5,947,185,924/48,496
6. Step 6: Final answer
   x = 122,632.50