Finding the Third Proportional to 322,116 and 686,887.50

Step by Step Solution

1. Step 1: Write the proportion equation
   322,116 : 686,887.50 = 686,887.50 : x
2. Step 2: Convert to fraction form
   322,116/686,887.50 = 686,887.50/x
3. Step 3: Cross multiply
   322,116x = 686,887.50 × 686,887.50
4. Step 4: Simplify right side
   322,116x = 471,814,437,656.25
5. Step 5: Solve for x
   x = 471,814,437,656.25/322,116
6. Step 6: Final answer
   x = 1,464,734.56