Finding the Third Proportional to 91,077 and 137,889

Step by Step Solution

1. Step 1: Write the proportion equation
   91,077 : 137,889 = 137,889 : x
2. Step 2: Convert to fraction form
   91,077/137,889 = 137,889/x
3. Step 3: Cross multiply
   91,077x = 137,889 × 137,889
4. Step 4: Simplify right side
   91,077x = 19,013,376,321
5. Step 5: Solve for x
   x = 19,013,376,321/91,077
6. Step 6: Final answer
   x = 208,761.56