Finding the Third Proportional to 90,294 and 137,733

Step by Step Solution

1. Step 1: Write the proportion equation
   90,294 : 137,733 = 137,733 : x
2. Step 2: Convert to fraction form
   90,294/137,733 = 137,733/x
3. Step 3: Cross multiply
   90,294x = 137,733 × 137,733
4. Step 4: Simplify right side
   90,294x = 18,970,379,289
5. Step 5: Solve for x
   x = 18,970,379,289/90,294
6. Step 6: Final answer
   x = 210,095.68