Finding the Third Proportional to 157,806 and 221,965.50

Step by Step Solution

1. Step 1: Write the proportion equation
   157,806 : 221,965.50 = 221,965.50 : x
2. Step 2: Convert to fraction form
   157,806/221,965.50 = 221,965.50/x
3. Step 3: Cross multiply
   157,806x = 221,965.50 × 221,965.50
4. Step 4: Simplify right side
   157,806x = 49,268,683,190.25
5. Step 5: Solve for x
   x = 49,268,683,190.25/157,806
6. Step 6: Final answer
   x = 312,210.46