Finding the Third Proportional to 78,216 and 170,773.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,216 : 170,773.50 = 170,773.50 : x
2. Step 2: Convert to fraction form
   78,216/170,773.50 = 170,773.50/x
3. Step 3: Cross multiply
   78,216x = 170,773.50 × 170,773.50
4. Step 4: Simplify right side
   78,216x = 29,163,588,302.25
5. Step 5: Solve for x
   x = 29,163,588,302.25/78,216
6. Step 6: Final answer
   x = 372,859.62