Finding the Third Proportional to 42,819 and 94,816.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,819 : 94,816.50 = 94,816.50 : x
2. Step 2: Convert to fraction form
   42,819/94,816.50 = 94,816.50/x
3. Step 3: Cross multiply
   42,819x = 94,816.50 × 94,816.50
4. Step 4: Simplify right side
   42,819x = 8,990,168,672.25
5. Step 5: Solve for x
   x = 8,990,168,672.25/42,819
6. Step 6: Final answer
   x = 209,957.46