Finding the Third Proportional to 52,126.50 and 114,402

Step by Step Solution

1. Step 1: Write the proportion equation
   52,126.50 : 114,402 = 114,402 : x
2. Step 2: Convert to fraction form
   52,126.50/114,402 = 114,402/x
3. Step 3: Cross multiply
   52,126.50x = 114,402 × 114,402
4. Step 4: Simplify right side
   52,126.50x = 13,087,817,604
5. Step 5: Solve for x
   x = 13,087,817,604/52,126.50
6. Step 6: Final answer
   x = 251,078.00