Finding the Third Proportional to 116,706 and 185,266.13

Step by Step Solution

1. Step 1: Write the proportion equation
   116,706 : 185,266.13 = 185,266.13 : x
2. Step 2: Convert to fraction form
   116,706/185,266.13 = 185,266.13/x
3. Step 3: Cross multiply
   116,706x = 185,266.13 × 185,266.13
4. Step 4: Simplify right side
   116,706x = 34,323,537,072.52
5. Step 5: Solve for x
   x = 34,323,537,072.52/116,706
6. Step 6: Final answer
   x = 294,102.59