Finding the Third Proportional to 175,805 and 260,419.50

Step by Step Solution

1. Step 1: Write the proportion equation
   175,805 : 260,419.50 = 260,419.50 : x
2. Step 2: Convert to fraction form
   175,805/260,419.50 = 260,419.50/x
3. Step 3: Cross multiply
   175,805x = 260,419.50 × 260,419.50
4. Step 4: Simplify right side
   175,805x = 67,818,315,980.25
5. Step 5: Solve for x
   x = 67,818,315,980.25/175,805
6. Step 6: Final answer
   x = 385,758.74