Finding the Third Proportional to 91,428 and 137,142

Step by Step Solution

1. Step 1: Write the proportion equation
   91,428 : 137,142 = 137,142 : x
2. Step 2: Convert to fraction form
   91,428/137,142 = 137,142/x
3. Step 3: Cross multiply
   91,428x = 137,142 × 137,142
4. Step 4: Simplify right side
   91,428x = 18,807,928,164
5. Step 5: Solve for x
   x = 18,807,928,164/91,428
6. Step 6: Final answer
   x = 205,713