Finding the Third Proportional to 94,152 and 206,965.50

Step by Step Solution

1. Step 1: Write the proportion equation
   94,152 : 206,965.50 = 206,965.50 : x
2. Step 2: Convert to fraction form
   94,152/206,965.50 = 206,965.50/x
3. Step 3: Cross multiply
   94,152x = 206,965.50 × 206,965.50
4. Step 4: Simplify right side
   94,152x = 42,834,718,190.25
5. Step 5: Solve for x
   x = 42,834,718,190.25/94,152
6. Step 6: Final answer
   x = 454,952.82