Finding the Third Proportional to 42,705 and 93,721.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,705 : 93,721.50 = 93,721.50 : x
2. Step 2: Convert to fraction form
   42,705/93,721.50 = 93,721.50/x
3. Step 3: Cross multiply
   42,705x = 93,721.50 × 93,721.50
4. Step 4: Simplify right side
   42,705x = 8,783,719,562.25
5. Step 5: Solve for x
   x = 8,783,719,562.25/42,705
6. Step 6: Final answer
   x = 205,683.63