Finding the Third Proportional to 106,307.50 and 159,942

Step by Step Solution

1. Step 1: Write the proportion equation
   106,307.50 : 159,942 = 159,942 : x
2. Step 2: Convert to fraction form
   106,307.50/159,942 = 159,942/x
3. Step 3: Cross multiply
   106,307.50x = 159,942 × 159,942
4. Step 4: Simplify right side
   106,307.50x = 25,581,443,364
5. Step 5: Solve for x
   x = 25,581,443,364/106,307.50
6. Step 6: Final answer
   x = 240,636.30