Finding the Third Proportional to 137,112 and 296,688

Step by Step Solution

1. Step 1: Write the proportion equation
   137,112 : 296,688 = 296,688 : x
2. Step 2: Convert to fraction form
   137,112/296,688 = 296,688/x
3. Step 3: Cross multiply
   137,112x = 296,688 × 296,688
4. Step 4: Simplify right side
   137,112x = 88,023,769,344
5. Step 5: Solve for x
   x = 88,023,769,344/137,112
6. Step 6: Final answer
   x = 641,984.43