Finding the Third Proportional to 81,688 and 175,890

Step by Step Solution

1. Step 1: Write the proportion equation
   81,688 : 175,890 = 175,890 : x
2. Step 2: Convert to fraction form
   81,688/175,890 = 175,890/x
3. Step 3: Cross multiply
   81,688x = 175,890 × 175,890
4. Step 4: Simplify right side
   81,688x = 30,937,292,100
5. Step 5: Solve for x
   x = 30,937,292,100/81,688
6. Step 6: Final answer
   x = 378,725.05