Finding the Third Proportional to 78,156 and 120,946.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,156 : 120,946.50 = 120,946.50 : x
2. Step 2: Convert to fraction form
   78,156/120,946.50 = 120,946.50/x
3. Step 3: Cross multiply
   78,156x = 120,946.50 × 120,946.50
4. Step 4: Simplify right side
   78,156x = 14,628,055,862.25
5. Step 5: Solve for x
   x = 14,628,055,862.25/78,156
6. Step 6: Final answer
   x = 187,164.85