Finding the Third Proportional to 42,769 and 93,921.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,769 : 93,921.50 = 93,921.50 : x
2. Step 2: Convert to fraction form
   42,769/93,921.50 = 93,921.50/x
3. Step 3: Cross multiply
   42,769x = 93,921.50 × 93,921.50
4. Step 4: Simplify right side
   42,769x = 8,821,248,162.25
5. Step 5: Solve for x
   x = 8,821,248,162.25/42,769
6. Step 6: Final answer
   x = 206,253.32