Finding the Third Proportional to 65,974.50 and 102,222

Step by Step Solution

1. Step 1: Write the proportion equation
   65,974.50 : 102,222 = 102,222 : x
2. Step 2: Convert to fraction form
   65,974.50/102,222 = 102,222/x
3. Step 3: Cross multiply
   65,974.50x = 102,222 × 102,222
4. Step 4: Simplify right side
   65,974.50x = 10,449,337,284
5. Step 5: Solve for x
   x = 10,449,337,284/65,974.50
6. Step 6: Final answer
   x = 158,384.49