Finding the Third Proportional to 79,407 and 174,359.25

Step by Step Solution

1. Step 1: Write the proportion equation
   79,407 : 174,359.25 = 174,359.25 : x
2. Step 2: Convert to fraction form
   79,407/174,359.25 = 174,359.25/x
3. Step 3: Cross multiply
   79,407x = 174,359.25 × 174,359.25
4. Step 4: Simplify right side
   79,407x = 30,401,148,060.56
5. Step 5: Solve for x
   x = 30,401,148,060.56/79,407
6. Step 6: Final answer
   x = 382,852.24