Finding the Third Proportional to 157,812 and 221,974.50

Step by Step Solution

1. Step 1: Write the proportion equation
   157,812 : 221,974.50 = 221,974.50 : x
2. Step 2: Convert to fraction form
   157,812/221,974.50 = 221,974.50/x
3. Step 3: Cross multiply
   157,812x = 221,974.50 × 221,974.50
4. Step 4: Simplify right side
   157,812x = 49,272,678,650.25
5. Step 5: Solve for x
   x = 49,272,678,650.25/157,812
6. Step 6: Final answer
   x = 312,223.90