Finding the Third Proportional to 85,384 and 137,188

Step by Step Solution

1. Step 1: Write the proportion equation
   85,384 : 137,188 = 137,188 : x
2. Step 2: Convert to fraction form
   85,384/137,188 = 137,188/x
3. Step 3: Cross multiply
   85,384x = 137,188 × 137,188
4. Step 4: Simplify right side
   85,384x = 18,820,547,344
5. Step 5: Solve for x
   x = 18,820,547,344/85,384
6. Step 6: Final answer
   x = 220,422.41