Finding the Third Proportional to 91,422 and 137,385

Step by Step Solution

1. Step 1: Write the proportion equation
   91,422 : 137,385 = 137,385 : x
2. Step 2: Convert to fraction form
   91,422/137,385 = 137,385/x
3. Step 3: Cross multiply
   91,422x = 137,385 × 137,385
4. Step 4: Simplify right side
   91,422x = 18,874,638,225
5. Step 5: Solve for x
   x = 18,874,638,225/91,422
6. Step 6: Final answer
   x = 206,456.19