Finding the Third Proportional to 78,408 and 171,031.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,408 : 171,031.50 = 171,031.50 : x
2. Step 2: Convert to fraction form
   78,408/171,031.50 = 171,031.50/x
3. Step 3: Cross multiply
   78,408x = 171,031.50 × 171,031.50
4. Step 4: Simplify right side
   78,408x = 29,251,773,992.25
5. Step 5: Solve for x
   x = 29,251,773,992.25/78,408
6. Step 6: Final answer
   x = 373,071.29