Finding the Third Proportional to 147,866 and 231,656

Step by Step Solution

1. Step 1: Write the proportion equation
   147,866 : 231,656 = 231,656 : x
2. Step 2: Convert to fraction form
   147,866/231,656 = 231,656/x
3. Step 3: Cross multiply
   147,866x = 231,656 × 231,656
4. Step 4: Simplify right side
   147,866x = 53,664,502,336
5. Step 5: Solve for x
   x = 53,664,502,336/147,866
6. Step 6: Final answer
   x = 362,926.58