Finding the Third Proportional to 78,282 and 169,031.25

Step by Step Solution

1. Step 1: Write the proportion equation
   78,282 : 169,031.25 = 169,031.25 : x
2. Step 2: Convert to fraction form
   78,282/169,031.25 = 169,031.25/x
3. Step 3: Cross multiply
   78,282x = 169,031.25 × 169,031.25
4. Step 4: Simplify right side
   78,282x = 28,571,563,476.56
5. Step 5: Solve for x
   x = 28,571,563,476.56/78,282
6. Step 6: Final answer
   x = 364,982.54