Finding the Third Proportional to 354,680 and 771,567.50

Step by Step Solution

1. Step 1: Write the proportion equation
   354,680 : 771,567.50 = 771,567.50 : x
2. Step 2: Convert to fraction form
   354,680/771,567.50 = 771,567.50/x
3. Step 3: Cross multiply
   354,680x = 771,567.50 × 771,567.50
4. Step 4: Simplify right side
   354,680x = 595,316,407,056.25
5. Step 5: Solve for x
   x = 595,316,407,056.25/354,680
6. Step 6: Final answer
   x = 1,678,460.60