Finding the Third Proportional to 175,683.50 and 414,314

Step by Step Solution

1. Step 1: Write the proportion equation
   175,683.50 : 414,314 = 414,314 : x
2. Step 2: Convert to fraction form
   175,683.50/414,314 = 414,314/x
3. Step 3: Cross multiply
   175,683.50x = 414,314 × 414,314
4. Step 4: Simplify right side
   175,683.50x = 171,656,090,596
5. Step 5: Solve for x
   x = 171,656,090,596/175,683.50
6. Step 6: Final answer
   x = 977,075.77