Finding the Third Proportional to 141,196.50 and 310,824

Step by Step Solution

1. Step 1: Write the proportion equation
   141,196.50 : 310,824 = 310,824 : x
2. Step 2: Convert to fraction form
   141,196.50/310,824 = 310,824/x
3. Step 3: Cross multiply
   141,196.50x = 310,824 × 310,824
4. Step 4: Simplify right side
   141,196.50x = 96,611,558,976
5. Step 5: Solve for x
   x = 96,611,558,976/141,196.50
6. Step 6: Final answer
   x = 684,234.80