Finding the Third Proportional to 69,294 and 150,736

Step by Step Solution

1. Step 1: Write the proportion equation
   69,294 : 150,736 = 150,736 : x
2. Step 2: Convert to fraction form
   69,294/150,736 = 150,736/x
3. Step 3: Cross multiply
   69,294x = 150,736 × 150,736
4. Step 4: Simplify right side
   69,294x = 22,721,341,696
5. Step 5: Solve for x
   x = 22,721,341,696/69,294
6. Step 6: Final answer
   x = 327,897.68