Finding the Third Proportional to 78,688 and 120,426

Step by Step Solution

1. Step 1: Write the proportion equation
   78,688 : 120,426 = 120,426 : x
2. Step 2: Convert to fraction form
   78,688/120,426 = 120,426/x
3. Step 3: Cross multiply
   78,688x = 120,426 × 120,426
4. Step 4: Simplify right side
   78,688x = 14,502,421,476
5. Step 5: Solve for x
   x = 14,502,421,476/78,688
6. Step 6: Final answer
   x = 184,302.83