Finding the Third Proportional to 91,546 and 137,229

Step by Step Solution

1. Step 1: Write the proportion equation
   91,546 : 137,229 = 137,229 : x
2. Step 2: Convert to fraction form
   91,546/137,229 = 137,229/x
3. Step 3: Cross multiply
   91,546x = 137,229 × 137,229
4. Step 4: Simplify right side
   91,546x = 18,831,798,441
5. Step 5: Solve for x
   x = 18,831,798,441/91,546
6. Step 6: Final answer
   x = 205,708.59