Finding the Third Proportional to 79,006 and 172,792.50

Step by Step Solution

1. Step 1: Write the proportion equation
   79,006 : 172,792.50 = 172,792.50 : x
2. Step 2: Convert to fraction form
   79,006/172,792.50 = 172,792.50/x
3. Step 3: Cross multiply
   79,006x = 172,792.50 × 172,792.50
4. Step 4: Simplify right side
   79,006x = 29,857,248,056.25
5. Step 5: Solve for x
   x = 29,857,248,056.25/79,006
6. Step 6: Final answer
   x = 377,911.15