Finding the Third Proportional to 103,664 and 279,254.50

Step by Step Solution

1. Step 1: Write the proportion equation
   103,664 : 279,254.50 = 279,254.50 : x
2. Step 2: Convert to fraction form
   103,664/279,254.50 = 279,254.50/x
3. Step 3: Cross multiply
   103,664x = 279,254.50 × 279,254.50
4. Step 4: Simplify right side
   103,664x = 77,983,075,770.25
5. Step 5: Solve for x
   x = 77,983,075,770.25/103,664
6. Step 6: Final answer
   x = 752,267.67