Finding the Third Proportional to 91,380 and 137,071

Step by Step Solution

1. Step 1: Write the proportion equation
   91,380 : 137,071 = 137,071 : x
2. Step 2: Convert to fraction form
   91,380/137,071 = 137,071/x
3. Step 3: Cross multiply
   91,380x = 137,071 × 137,071
4. Step 4: Simplify right side
   91,380x = 18,788,459,041
5. Step 5: Solve for x
   x = 18,788,459,041/91,380
6. Step 6: Final answer
   x = 205,608.00