Finding the Third Proportional to 49,896 and 77,160

Step by Step Solution

1. Step 1: Write the proportion equation
   49,896 : 77,160 = 77,160 : x
2. Step 2: Convert to fraction form
   49,896/77,160 = 77,160/x
3. Step 3: Cross multiply
   49,896x = 77,160 × 77,160
4. Step 4: Simplify right side
   49,896x = 5,953,665,600
5. Step 5: Solve for x
   x = 5,953,665,600/49,896
6. Step 6: Final answer
   x = 119,321.50