Finding the Third Proportional to 42,776 and 103,052

Step by Step Solution

1. Step 1: Write the proportion equation
   42,776 : 103,052 = 103,052 : x
2. Step 2: Convert to fraction form
   42,776/103,052 = 103,052/x
3. Step 3: Cross multiply
   42,776x = 103,052 × 103,052
4. Step 4: Simplify right side
   42,776x = 10,619,714,704
5. Step 5: Solve for x
   x = 10,619,714,704/42,776
6. Step 6: Final answer
   x = 248,263.39