Finding the Third Proportional to 78,827 and 172,983.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,827 : 172,983.50 = 172,983.50 : x
2. Step 2: Convert to fraction form
   78,827/172,983.50 = 172,983.50/x
3. Step 3: Cross multiply
   78,827x = 172,983.50 × 172,983.50
4. Step 4: Simplify right side
   78,827x = 29,923,291,272.25
5. Step 5: Solve for x
   x = 29,923,291,272.25/78,827
6. Step 6: Final answer
   x = 379,607.13