Finding the Third Proportional to 91,174 and 137,982

Step by Step Solution

1. Step 1: Write the proportion equation
   91,174 : 137,982 = 137,982 : x
2. Step 2: Convert to fraction form
   91,174/137,982 = 137,982/x
3. Step 3: Cross multiply
   91,174x = 137,982 × 137,982
4. Step 4: Simplify right side
   91,174x = 19,039,032,324
5. Step 5: Solve for x
   x = 19,039,032,324/91,174
6. Step 6: Final answer
   x = 208,820.85