Finding the Third Proportional to 91,458 and 137,430

Step by Step Solution

1. Step 1: Write the proportion equation
   91,458 : 137,430 = 137,430 : x
2. Step 2: Convert to fraction form
   91,458/137,430 = 137,430/x
3. Step 3: Cross multiply
   91,458x = 137,430 × 137,430
4. Step 4: Simplify right side
   91,458x = 18,887,004,900
5. Step 5: Solve for x
   x = 18,887,004,900/91,458
6. Step 6: Final answer
   x = 206,510.15