Finding the Third Proportional to 78,822 and 172,973.25

Step by Step Solution

1. Step 1: Write the proportion equation
   78,822 : 172,973.25 = 172,973.25 : x
2. Step 2: Convert to fraction form
   78,822/172,973.25 = 172,973.25/x
3. Step 3: Cross multiply
   78,822x = 172,973.25 × 172,973.25
4. Step 4: Simplify right side
   78,822x = 29,919,745,215.56
5. Step 5: Solve for x
   x = 29,919,745,215.56/78,822
6. Step 6: Final answer
   x = 379,586.22