Finding the Third Proportional to 72,025 and 156,965

Step by Step Solution

1. Step 1: Write the proportion equation
   72,025 : 156,965 = 156,965 : x
2. Step 2: Convert to fraction form
   72,025/156,965 = 156,965/x
3. Step 3: Cross multiply
   72,025x = 156,965 × 156,965
4. Step 4: Simplify right side
   72,025x = 24,638,011,225
5. Step 5: Solve for x
   x = 24,638,011,225/72,025
6. Step 6: Final answer
   x = 342,075.82