Finding the Third Proportional to 116,396 and 185,969

Step by Step Solution

1. Step 1: Write the proportion equation
   116,396 : 185,969 = 185,969 : x
2. Step 2: Convert to fraction form
   116,396/185,969 = 185,969/x
3. Step 3: Cross multiply
   116,396x = 185,969 × 185,969
4. Step 4: Simplify right side
   116,396x = 34,584,468,961
5. Step 5: Solve for x
   x = 34,584,468,961/116,396
6. Step 6: Final answer
   x = 297,127.64