Finding the Third Proportional to 51,820 and 112,763.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,820 : 112,763.50 = 112,763.50 : x
2. Step 2: Convert to fraction form
   51,820/112,763.50 = 112,763.50/x
3. Step 3: Cross multiply
   51,820x = 112,763.50 × 112,763.50
4. Step 4: Simplify right side
   51,820x = 12,715,606,932.25
5. Step 5: Solve for x
   x = 12,715,606,932.25/51,820
6. Step 6: Final answer
   x = 245,380.30