Finding the Third Proportional to 91,436 and 137,154

Step by Step Solution

1. Step 1: Write the proportion equation
   91,436 : 137,154 = 137,154 : x
2. Step 2: Convert to fraction form
   91,436/137,154 = 137,154/x
3. Step 3: Cross multiply
   91,436x = 137,154 × 137,154
4. Step 4: Simplify right side
   91,436x = 18,811,219,716
5. Step 5: Solve for x
   x = 18,811,219,716/91,436
6. Step 6: Final answer
   x = 205,731