Finding the Third Proportional to 72,002 and 156,916

Step by Step Solution

1. Step 1: Write the proportion equation
   72,002 : 156,916 = 156,916 : x
2. Step 2: Convert to fraction form
   72,002/156,916 = 156,916/x
3. Step 3: Cross multiply
   72,002x = 156,916 × 156,916
4. Step 4: Simplify right side
   72,002x = 24,622,631,056
5. Step 5: Solve for x
   x = 24,622,631,056/72,002
6. Step 6: Final answer
   x = 341,971.49