Finding the Third Proportional to 78,915 and 167,686.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,915 : 167,686.50 = 167,686.50 : x
2. Step 2: Convert to fraction form
   78,915/167,686.50 = 167,686.50/x
3. Step 3: Cross multiply
   78,915x = 167,686.50 × 167,686.50
4. Step 4: Simplify right side
   78,915x = 28,118,762,282.25
5. Step 5: Solve for x
   x = 28,118,762,282.25/78,915
6. Step 6: Final answer
   x = 356,317.08