Finding the Third Proportional to 516,235 and 782,122.50

Step by Step Solution

1. Step 1: Write the proportion equation
   516,235 : 782,122.50 = 782,122.50 : x
2. Step 2: Convert to fraction form
   516,235/782,122.50 = 782,122.50/x
3. Step 3: Cross multiply
   516,235x = 782,122.50 × 782,122.50
4. Step 4: Simplify right side
   516,235x = 611,715,605,006.25
5. Step 5: Solve for x
   x = 611,715,605,006.25/516,235
6. Step 6: Final answer
   x = 1,184,955.70