Finding the Third Proportional to 84,109.50 and 177,696

Step by Step Solution

1. Step 1: Write the proportion equation
   84,109.50 : 177,696 = 177,696 : x
2. Step 2: Convert to fraction form
   84,109.50/177,696 = 177,696/x
3. Step 3: Cross multiply
   84,109.50x = 177,696 × 177,696
4. Step 4: Simplify right side
   84,109.50x = 31,575,868,416
5. Step 5: Solve for x
   x = 31,575,868,416/84,109.50
6. Step 6: Final answer
   x = 375,413.82