Finding the Third Proportional to 116,956 and 180,946.50

Step by Step Solution

1. Step 1: Write the proportion equation
   116,956 : 180,946.50 = 180,946.50 : x
2. Step 2: Convert to fraction form
   116,956/180,946.50 = 180,946.50/x
3. Step 3: Cross multiply
   116,956x = 180,946.50 × 180,946.50
4. Step 4: Simplify right side
   116,956x = 32,741,635,862.25
5. Step 5: Solve for x
   x = 32,741,635,862.25/116,956
6. Step 6: Final answer
   x = 279,948.32