Finding the Third Proportional to 83,194 and 147,920

Step by Step Solution

1. Step 1: Write the proportion equation
   83,194 : 147,920 = 147,920 : x
2. Step 2: Convert to fraction form
   83,194/147,920 = 147,920/x
3. Step 3: Cross multiply
   83,194x = 147,920 × 147,920
4. Step 4: Simplify right side
   83,194x = 21,880,326,400
5. Step 5: Solve for x
   x = 21,880,326,400/83,194
6. Step 6: Final answer
   x = 263,003.66