Finding the Third Proportional to 84,199.50 and 180,792

Step by Step Solution

1. Step 1: Write the proportion equation
   84,199.50 : 180,792 = 180,792 : x
2. Step 2: Convert to fraction form
   84,199.50/180,792 = 180,792/x
3. Step 3: Cross multiply
   84,199.50x = 180,792 × 180,792
4. Step 4: Simplify right side
   84,199.50x = 32,685,747,264
5. Step 5: Solve for x
   x = 32,685,747,264/84,199.50
6. Step 6: Final answer
   x = 388,194.08