Finding the Third Proportional to 78,820.50 and 172,970.25

Step by Step Solution

1. Step 1: Write the proportion equation
   78,820.50 : 172,970.25 = 172,970.25 : x
2. Step 2: Convert to fraction form
   78,820.50/172,970.25 = 172,970.25/x
3. Step 3: Cross multiply
   78,820.50x = 172,970.25 × 172,970.25
4. Step 4: Simplify right side
   78,820.50x = 29,918,707,385.06
5. Step 5: Solve for x
   x = 29,918,707,385.06/78,820.50
6. Step 6: Final answer
   x = 379,580.28