Finding the Third Proportional to 52,872.50 and 114,457

Step by Step Solution

1. Step 1: Write the proportion equation
   52,872.50 : 114,457 = 114,457 : x
2. Step 2: Convert to fraction form
   52,872.50/114,457 = 114,457/x
3. Step 3: Cross multiply
   52,872.50x = 114,457 × 114,457
4. Step 4: Simplify right side
   52,872.50x = 13,100,404,849
5. Step 5: Solve for x
   x = 13,100,404,849/52,872.50
6. Step 6: Final answer
   x = 247,773.51