Finding the Third Proportional to 157,205 and 222,227.50

Step by Step Solution

1. Step 1: Write the proportion equation
   157,205 : 222,227.50 = 222,227.50 : x
2. Step 2: Convert to fraction form
   157,205/222,227.50 = 222,227.50/x
3. Step 3: Cross multiply
   157,205x = 222,227.50 × 222,227.50
4. Step 4: Simplify right side
   157,205x = 49,385,061,756.25
5. Step 5: Solve for x
   x = 49,385,061,756.25/157,205
6. Step 6: Final answer
   x = 314,144.35