Finding the Third Proportional to 116,229 and 179,599.50

Step by Step Solution

1. Step 1: Write the proportion equation
   116,229 : 179,599.50 = 179,599.50 : x
2. Step 2: Convert to fraction form
   116,229/179,599.50 = 179,599.50/x
3. Step 3: Cross multiply
   116,229x = 179,599.50 × 179,599.50
4. Step 4: Simplify right side
   116,229x = 32,255,980,400.25
5. Step 5: Solve for x
   x = 32,255,980,400.25/116,229
6. Step 6: Final answer
   x = 277,520.93