Finding the Third Proportional to 91,410 and 138,087

Step by Step Solution

1. Step 1: Write the proportion equation
   91,410 : 138,087 = 138,087 : x
2. Step 2: Convert to fraction form
   91,410/138,087 = 138,087/x
3. Step 3: Cross multiply
   91,410x = 138,087 × 138,087
4. Step 4: Simplify right side
   91,410x = 19,068,019,569
5. Step 5: Solve for x
   x = 19,068,019,569/91,410
6. Step 6: Final answer
   x = 208,598.84