Finding the Third Proportional to 78,672 and 120,994.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,672 : 120,994.50 = 120,994.50 : x
2. Step 2: Convert to fraction form
   78,672/120,994.50 = 120,994.50/x
3. Step 3: Cross multiply
   78,672x = 120,994.50 × 120,994.50
4. Step 4: Simplify right side
   78,672x = 14,639,669,030.25
5. Step 5: Solve for x
   x = 14,639,669,030.25/78,672
6. Step 6: Final answer
   x = 186,084.87