Finding the Third Proportional to 117,537 and 173,835

Step by Step Solution

1. Step 1: Write the proportion equation
   117,537 : 173,835 = 173,835 : x
2. Step 2: Convert to fraction form
   117,537/173,835 = 173,835/x
3. Step 3: Cross multiply
   117,537x = 173,835 × 173,835
4. Step 4: Simplify right side
   117,537x = 30,218,607,225
5. Step 5: Solve for x
   x = 30,218,607,225/117,537
6. Step 6: Final answer
   x = 257,098.68