Finding the Third Proportional to 78,141 and 120,454

Step by Step Solution

1. Step 1: Write the proportion equation
   78,141 : 120,454 = 120,454 : x
2. Step 2: Convert to fraction form
   78,141/120,454 = 120,454/x
3. Step 3: Cross multiply
   78,141x = 120,454 × 120,454
4. Step 4: Simplify right side
   78,141x = 14,509,166,116
5. Step 5: Solve for x
   x = 14,509,166,116/78,141
6. Step 6: Final answer
   x = 185,679.30