Finding the Third Proportional to 90,495 and 137,688

Step by Step Solution

1. Step 1: Write the proportion equation
   90,495 : 137,688 = 137,688 : x
2. Step 2: Convert to fraction form
   90,495/137,688 = 137,688/x
3. Step 3: Cross multiply
   90,495x = 137,688 × 137,688
4. Step 4: Simplify right side
   90,495x = 18,957,985,344
5. Step 5: Solve for x
   x = 18,957,985,344/90,495
6. Step 6: Final answer
   x = 209,492.08