Finding the Third Proportional to 380,935.50 and 829,599

Step by Step Solution

1. Step 1: Write the proportion equation
   380,935.50 : 829,599 = 829,599 : x
2. Step 2: Convert to fraction form
   380,935.50/829,599 = 829,599/x
3. Step 3: Cross multiply
   380,935.50x = 829,599 × 829,599
4. Step 4: Simplify right side
   380,935.50x = 688,234,500,801
5. Step 5: Solve for x
   x = 688,234,500,801/380,935.50
6. Step 6: Final answer
   x = 1,806,695.62