Finding the Third Proportional to 91,164 and 137,961

Step by Step Solution

1. Step 1: Write the proportion equation
   91,164 : 137,961 = 137,961 : x
2. Step 2: Convert to fraction form
   91,164/137,961 = 137,961/x
3. Step 3: Cross multiply
   91,164x = 137,961 × 137,961
4. Step 4: Simplify right side
   91,164x = 19,033,237,521
5. Step 5: Solve for x
   x = 19,033,237,521/91,164
6. Step 6: Final answer
   x = 208,780.19