Finding the Third Proportional to 379,770 and 824,740.50

Step by Step Solution

1. Step 1: Write the proportion equation
   379,770 : 824,740.50 = 824,740.50 : x
2. Step 2: Convert to fraction form
   379,770/824,740.50 = 824,740.50/x
3. Step 3: Cross multiply
   379,770x = 824,740.50 × 824,740.50
4. Step 4: Simplify right side
   379,770x = 680,196,892,340.25
5. Step 5: Solve for x
   x = 680,196,892,340.25/379,770
6. Step 6: Final answer
   x = 1,791,075.89