Finding the Third Proportional to 349,654 and 766,034

Step by Step Solution

1. Step 1: Write the proportion equation
   349,654 : 766,034 = 766,034 : x
2. Step 2: Convert to fraction form
   349,654/766,034 = 766,034/x
3. Step 3: Cross multiply
   349,654x = 766,034 × 766,034
4. Step 4: Simplify right side
   349,654x = 586,808,089,156
5. Step 5: Solve for x
   x = 586,808,089,156/349,654
6. Step 6: Final answer
   x = 1,678,253.61