Finding the Third Proportional to 116,393 and 185,965.50

Step by Step Solution

1. Step 1: Write the proportion equation
   116,393 : 185,965.50 = 185,965.50 : x
2. Step 2: Convert to fraction form
   116,393/185,965.50 = 185,965.50/x
3. Step 3: Cross multiply
   116,393x = 185,965.50 × 185,965.50
4. Step 4: Simplify right side
   116,393x = 34,583,167,190.25
5. Step 5: Solve for x
   x = 34,583,167,190.25/116,393
6. Step 6: Final answer
   x = 297,124.12