Finding the Third Proportional to 51,603 and 113,047.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,603 : 113,047.50 = 113,047.50 : x
2. Step 2: Convert to fraction form
   51,603/113,047.50 = 113,047.50/x
3. Step 3: Cross multiply
   51,603x = 113,047.50 × 113,047.50
4. Step 4: Simplify right side
   51,603x = 12,779,737,256.25
5. Step 5: Solve for x
   x = 12,779,737,256.25/51,603
6. Step 6: Final answer
   x = 247,654.93