Finding the Third Proportional to 78,006 and 120,991.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,006 : 120,991.50 = 120,991.50 : x
2. Step 2: Convert to fraction form
   78,006/120,991.50 = 120,991.50/x
3. Step 3: Cross multiply
   78,006x = 120,991.50 × 120,991.50
4. Step 4: Simplify right side
   78,006x = 14,638,943,072.25
5. Step 5: Solve for x
   x = 14,638,943,072.25/78,006
6. Step 6: Final answer
   x = 187,664.32