Finding the Third Proportional to 175,810 and 262,555.50

Step by Step Solution

1. Step 1: Write the proportion equation
   175,810 : 262,555.50 = 262,555.50 : x
2. Step 2: Convert to fraction form
   175,810/262,555.50 = 262,555.50/x
3. Step 3: Cross multiply
   175,810x = 262,555.50 × 262,555.50
4. Step 4: Simplify right side
   175,810x = 68,935,390,580.25
5. Step 5: Solve for x
   x = 68,935,390,580.25/175,810
6. Step 6: Final answer
   x = 392,101.65