Finding the Third Proportional to 52,278.75 and 114,385.50

Step by Step Solution

1. Step 1: Write the proportion equation
   52,278.75 : 114,385.50 = 114,385.50 : x
2. Step 2: Convert to fraction form
   52,278.75/114,385.50 = 114,385.50/x
3. Step 3: Cross multiply
   52,278.75x = 114,385.50 × 114,385.50
4. Step 4: Simplify right side
   52,278.75x = 13,084,042,610.25
5. Step 5: Solve for x
   x = 13,084,042,610.25/52,278.75
6. Step 6: Final answer
   x = 250,274.59