Finding the Third Proportional to 322,977 and 462,322.50

Step by Step Solution

1. Step 1: Write the proportion equation
   322,977 : 462,322.50 = 462,322.50 : x
2. Step 2: Convert to fraction form
   322,977/462,322.50 = 462,322.50/x
3. Step 3: Cross multiply
   322,977x = 462,322.50 × 462,322.50
4. Step 4: Simplify right side
   322,977x = 213,742,094,006.25
5. Step 5: Solve for x
   x = 213,742,094,006.25/322,977
6. Step 6: Final answer
   x = 661,787.35