Finding the Third Proportional to 55,776 and 88,864

Step by Step Solution

1. Step 1: Write the proportion equation
   55,776 : 88,864 = 88,864 : x
2. Step 2: Convert to fraction form
   55,776/88,864 = 88,864/x
3. Step 3: Cross multiply
   55,776x = 88,864 × 88,864
4. Step 4: Simplify right side
   55,776x = 7,896,810,496
5. Step 5: Solve for x
   x = 7,896,810,496/55,776
6. Step 6: Final answer
   x = 141,580.80