Finding the Third Proportional to 362,528 and 777,543.50

Step by Step Solution

1. Step 1: Write the proportion equation
   362,528 : 777,543.50 = 777,543.50 : x
2. Step 2: Convert to fraction form
   362,528/777,543.50 = 777,543.50/x
3. Step 3: Cross multiply
   362,528x = 777,543.50 × 777,543.50
4. Step 4: Simplify right side
   362,528x = 604,573,894,392.25
5. Step 5: Solve for x
   x = 604,573,894,392.25/362,528
6. Step 6: Final answer
   x = 1,667,661.24