Finding the Third Proportional to 91,051 and 137,846

Step by Step Solution

1. Step 1: Write the proportion equation
   91,051 : 137,846 = 137,846 : x
2. Step 2: Convert to fraction form
   91,051/137,846 = 137,846/x
3. Step 3: Cross multiply
   91,051x = 137,846 × 137,846
4. Step 4: Simplify right side
   91,051x = 19,001,519,716
5. Step 5: Solve for x
   x = 19,001,519,716/91,051
6. Step 6: Final answer
   x = 208,690.95