Finding the Third Proportional to 137,672 and 291,884

Step by Step Solution

1. Step 1: Write the proportion equation
   137,672 : 291,884 = 291,884 : x
2. Step 2: Convert to fraction form
   137,672/291,884 = 291,884/x
3. Step 3: Cross multiply
   137,672x = 291,884 × 291,884
4. Step 4: Simplify right side
   137,672x = 85,196,269,456
5. Step 5: Solve for x
   x = 85,196,269,456/137,672
6. Step 6: Final answer
   x = 618,835.13