Finding the Third Proportional to 78,069 and 167,978.25

Step by Step Solution

1. Step 1: Write the proportion equation
   78,069 : 167,978.25 = 167,978.25 : x
2. Step 2: Convert to fraction form
   78,069/167,978.25 = 167,978.25/x
3. Step 3: Cross multiply
   78,069x = 167,978.25 × 167,978.25
4. Step 4: Simplify right side
   78,069x = 28,216,692,473.06
5. Step 5: Solve for x
   x = 28,216,692,473.06/78,069
6. Step 6: Final answer
   x = 361,432.74