Finding the Third Proportional to 412,633 and 556,737.50

Step by Step Solution

1. Step 1: Write the proportion equation
   412,633 : 556,737.50 = 556,737.50 : x
2. Step 2: Convert to fraction form
   412,633/556,737.50 = 556,737.50/x
3. Step 3: Cross multiply
   412,633x = 556,737.50 × 556,737.50
4. Step 4: Simplify right side
   412,633x = 309,956,643,906.25
5. Step 5: Solve for x
   x = 309,956,643,906.25/412,633
6. Step 6: Final answer
   x = 751,167.85