Finding the Third Proportional to 52,227 and 78,457

Step by Step Solution

1. Step 1: Write the proportion equation
   52,227 : 78,457 = 78,457 : x
2. Step 2: Convert to fraction form
   52,227/78,457 = 78,457/x
3. Step 3: Cross multiply
   52,227x = 78,457 × 78,457
4. Step 4: Simplify right side
   52,227x = 6,155,500,849
5. Step 5: Solve for x
   x = 6,155,500,849/52,227
6. Step 6: Final answer
   x = 117,860.51