Finding the Third Proportional to 362,005.50 and 780,117

Step by Step Solution

1. Step 1: Write the proportion equation
   362,005.50 : 780,117 = 780,117 : x
2. Step 2: Convert to fraction form
   362,005.50/780,117 = 780,117/x
3. Step 3: Cross multiply
   362,005.50x = 780,117 × 780,117
4. Step 4: Simplify right side
   362,005.50x = 608,582,533,689
5. Step 5: Solve for x
   x = 608,582,533,689/362,005.50
6. Step 6: Final answer
   x = 1,681,141.68