Finding the Third Proportional to 116,583.75 and 185,385.38

Step by Step Solution

1. Step 1: Write the proportion equation
   116,583.75 : 185,385.38 = 185,385.38 : x
2. Step 2: Convert to fraction form
   116,583.75/185,385.38 = 185,385.38/x
3. Step 3: Cross multiply
   116,583.75x = 185,385.38 × 185,385.38
4. Step 4: Simplify right side
   116,583.75x = 34,367,737,263.89
5. Step 5: Solve for x
   x = 34,367,737,263.89/116,583.75
6. Step 6: Final answer
   x = 294,790.12