Finding the Third Proportional to 75,735.50 and 117,598

Step by Step Solution

1. Step 1: Write the proportion equation
   75,735.50 : 117,598 = 117,598 : x
2. Step 2: Convert to fraction form
   75,735.50/117,598 = 117,598/x
3. Step 3: Cross multiply
   75,735.50x = 117,598 × 117,598
4. Step 4: Simplify right side
   75,735.50x = 13,829,289,604
5. Step 5: Solve for x
   x = 13,829,289,604/75,735.50
6. Step 6: Final answer
   x = 182,599.83