Finding the Third Proportional to 59,119 and 89,377

Step by Step Solution

1. Step 1: Write the proportion equation
   59,119 : 89,377 = 89,377 : x
2. Step 2: Convert to fraction form
   59,119/89,377 = 89,377/x
3. Step 3: Cross multiply
   59,119x = 89,377 × 89,377
4. Step 4: Simplify right side
   59,119x = 7,988,248,129
5. Step 5: Solve for x
   x = 7,988,248,129/59,119
6. Step 6: Final answer
   x = 135,121.50