Finding the Third Proportional to 42,769 and 102,905.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,769 : 102,905.50 = 102,905.50 : x
2. Step 2: Convert to fraction form
   42,769/102,905.50 = 102,905.50/x
3. Step 3: Cross multiply
   42,769x = 102,905.50 × 102,905.50
4. Step 4: Simplify right side
   42,769x = 10,589,541,930.25
5. Step 5: Solve for x
   x = 10,589,541,930.25/42,769
6. Step 6: Final answer
   x = 247,598.54