Finding the Third Proportional to 78,398.50 and 171,808.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,398.50 : 171,808.50 = 171,808.50 : x
2. Step 2: Convert to fraction form
   78,398.50/171,808.50 = 171,808.50/x
3. Step 3: Cross multiply
   78,398.50x = 171,808.50 × 171,808.50
4. Step 4: Simplify right side
   78,398.50x = 29,518,160,672.25
5. Step 5: Solve for x
   x = 29,518,160,672.25/78,398.50
6. Step 6: Final answer
   x = 376,514.36