Finding the Third Proportional to 94,706.50 and 157,824

Step by Step Solution

1. Step 1: Write the proportion equation
   94,706.50 : 157,824 = 157,824 : x
2. Step 2: Convert to fraction form
   94,706.50/157,824 = 157,824/x
3. Step 3: Cross multiply
   94,706.50x = 157,824 × 157,824
4. Step 4: Simplify right side
   94,706.50x = 24,908,414,976
5. Step 5: Solve for x
   x = 24,908,414,976/94,706.50
6. Step 6: Final answer
   x = 263,006.39