Finding the Third Proportional to 137,192 and 299,632

Step by Step Solution

1. Step 1: Write the proportion equation
   137,192 : 299,632 = 299,632 : x
2. Step 2: Convert to fraction form
   137,192/299,632 = 299,632/x
3. Step 3: Cross multiply
   137,192x = 299,632 × 299,632
4. Step 4: Simplify right side
   137,192x = 89,779,335,424
5. Step 5: Solve for x
   x = 89,779,335,424/137,192
6. Step 6: Final answer
   x = 654,406.49