Finding the Third Proportional to 78,688 and 120,328

Step by Step Solution

1. Step 1: Write the proportion equation
   78,688 : 120,328 = 120,328 : x
2. Step 2: Convert to fraction form
   78,688/120,328 = 120,328/x
3. Step 3: Cross multiply
   78,688x = 120,328 × 120,328
4. Step 4: Simplify right side
   78,688x = 14,478,827,584
5. Step 5: Solve for x
   x = 14,478,827,584/78,688
6. Step 6: Final answer
   x = 184,002.99