Finding the Third Proportional to 312,972 and 469,525.50

Step by Step Solution

1. Step 1: Write the proportion equation
   312,972 : 469,525.50 = 469,525.50 : x
2. Step 2: Convert to fraction form
   312,972/469,525.50 = 469,525.50/x
3. Step 3: Cross multiply
   312,972x = 469,525.50 × 469,525.50
4. Step 4: Simplify right side
   312,972x = 220,454,195,150.25
5. Step 5: Solve for x
   x = 220,454,195,150.25/312,972
6. Step 6: Final answer
   x = 704,389.51